LMFDB - Embedded newform 77.2.l.b.41.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [77,2,Mod(6,77)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(77, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 9]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("77.6");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 77 = 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	77.l (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.614848095564$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} + 20x^{14} + 260x^{12} + 2030x^{10} + 11605x^{8} + 42100x^{6} + 106925x^{4} + 113575x^{2} + 87025 $ x^16 + 20x^14 + 260x^12 + 2030x^10 + 11605x^8 + 42100x^6 + 106925x^4 + 113575*x^2 + 87025
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			41.2
Root			$-1.27939 + 2.21596i$ of defining polynomial
Character	$\chi$	$=$	77.41
Dual form			77.2.l.b.62.2

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41355 - 1.94558i) q^{2} +(1.63732 - 0.531999i) q^{3} +(-1.16913 + 3.59821i) q^{4} +(1.97962 - 2.72471i) q^{5} +(-3.34948 - 2.43354i) q^{6} +(-1.43059 + 2.22563i) q^{7} +(4.07890 - 1.32531i) q^{8} +(-0.0292442 + 0.0212472i) q^{9} +O(q^{10})$	\(q+(-1.41355 - 1.94558i) q^{2} +(1.63732 - 0.531999i) q^{3} +(-1.16913 + 3.59821i) q^{4} +(1.97962 - 2.72471i) q^{5} +(-3.34948 - 2.43354i) q^{6} +(-1.43059 + 2.22563i) q^{7} +(4.07890 - 1.32531i) q^{8} +(-0.0292442 + 0.0212472i) q^{9} -8.09942 q^{10} +(-3.01430 + 1.38348i) q^{11} +6.51342i q^{12} +(2.07009 - 1.50401i) q^{13} +(6.35233 - 0.362697i) q^{14} +(1.79173 - 5.51439i) q^{15} +(-2.22256 - 1.61479i) q^{16} +(3.20309 + 2.32718i) q^{17} +(0.0826761 + 0.0268631i) q^{18} +(-0.102162 - 0.314423i) q^{19} +(7.48966 + 10.3086i) q^{20} +(-1.15831 + 4.40514i) q^{21} +(6.95252 + 3.90893i) q^{22} +2.85410 q^{23} +(5.97341 - 4.33994i) q^{24} +(-1.96007 - 6.03249i) q^{25} +(-5.85233 - 1.90154i) q^{26} +(-3.07234 + 4.22872i) q^{27} +(-6.33573 - 7.74962i) q^{28} +(-2.36984 - 0.770008i) q^{29} +(-13.2614 + 4.30888i) q^{30} +(0.130745 + 0.179955i) q^{31} -1.97087i q^{32} +(-4.19937 + 3.86881i) q^{33} -9.52144i q^{34} +(3.23216 + 8.30383i) q^{35} +(-0.0422615 - 0.130068i) q^{36} +(-2.58958 + 7.96991i) q^{37} +(-0.467324 + 0.643217i) q^{38} +(2.58928 - 3.56384i) q^{39} +(4.46356 - 13.7374i) q^{40} +(-2.94529 - 9.06468i) q^{41} +(10.2079 - 3.97329i) q^{42} +1.73205i q^{43} +(-1.45396 - 12.4636i) q^{44} +0.121743i q^{45} +(-4.03440 - 5.55288i) q^{46} +(1.17925 - 0.383160i) q^{47} +(-4.49812 - 1.46153i) q^{48} +(-2.90682 - 6.36792i) q^{49} +(-8.96602 + 12.3407i) q^{50} +(6.48255 + 2.10631i) q^{51} +(2.99154 + 9.20701i) q^{52} +(-0.244415 + 0.177578i) q^{53} +12.5702 q^{54} +(-2.19756 + 10.9518i) q^{55} +(-2.88558 + 10.9741i) q^{56} +(-0.334546 - 0.460463i) q^{57} +(1.85177 + 5.69915i) q^{58} +(-8.58810 - 2.79044i) q^{59} +(17.7472 + 12.8941i) q^{60} +(4.59826 + 3.34083i) q^{61} +(0.165302 - 0.508748i) q^{62} +(-0.00545174 - 0.0954827i) q^{63} +(-8.27961 + 6.01549i) q^{64} -8.61776i q^{65} +(13.4631 + 2.70146i) q^{66} -6.57998 q^{67} +(-12.1185 + 8.80462i) q^{68} +(4.67309 - 1.51838i) q^{69} +(11.5870 - 18.0263i) q^{70} +(-4.33320 - 3.14826i) q^{71} +(-0.0911250 + 0.125423i) q^{72} +(2.16056 - 6.64953i) q^{73} +(19.1666 - 6.22760i) q^{74} +(-6.41855 - 8.83438i) q^{75} +1.25080 q^{76} +(1.23311 - 8.68789i) q^{77} -10.5938 q^{78} +(1.73702 + 2.39081i) q^{79} +(-8.79965 + 2.85918i) q^{80} +(-2.74724 + 8.45513i) q^{81} +(-13.4727 + 18.5436i) q^{82} +(6.38726 + 4.64062i) q^{83} +(-14.4964 - 9.31803i) q^{84} +(12.6818 - 4.12056i) q^{85} +(3.36984 - 2.44833i) q^{86} -4.28984 q^{87} +(-10.4615 + 9.63797i) q^{88} -3.66560i q^{89} +(0.236861 - 0.172090i) q^{90} +(0.385909 + 6.75887i) q^{91} +(-3.33682 + 10.2697i) q^{92} +(0.309807 + 0.225088i) q^{93} +(-2.41238 - 1.75270i) q^{94} +(-1.05896 - 0.344075i) q^{95} +(-1.04850 - 3.22695i) q^{96} +(-8.01617 - 11.0333i) q^{97} +(-8.28036 + 14.6568i) q^{98} +(0.0587556 - 0.104504i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 10 q^{2} - 10 q^{4} - 10 q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) $ 16 * q - 10 * q^2 - 10 * q^4 - 10 * q^7 + 10 * q^8 + 8 * q^9	$ 16 q - 10 q^{2} - 10 q^{4} - 10 q^{7} + 10 q^{8} + 8 q^{9} + 2 q^{11} + 8 q^{14} - 14 q^{16} - 20 q^{18} + 42 q^{22} - 8 q^{23} - 30 q^{25} - 10 q^{28} + 10 q^{29} - 40 q^{30} + 40 q^{35} + 20 q^{36} + 4 q^{37} + 30 q^{39} + 50 q^{42} - 10 q^{44} - 10 q^{46} + 8 q^{49} - 60 q^{50} - 10 q^{51} - 4 q^{56} - 90 q^{57} - 2 q^{58} + 120 q^{60} - 20 q^{63} - 38 q^{64} - 4 q^{67} - 56 q^{71} + 30 q^{72} + 90 q^{74} + 2 q^{77} - 20 q^{78} + 50 q^{79} - 16 q^{81} - 70 q^{84} + 80 q^{85} + 6 q^{86} - 86 q^{88} - 30 q^{91} + 20 q^{92} - 40 q^{93} - 60 q^{95} + 36 q^{99}+O(q^{100}) $ 16 * q - 10 * q^2 - 10 * q^4 - 10 * q^7 + 10 * q^8 + 8 * q^9 + 2 * q^11 + 8 * q^14 - 14 * q^16 - 20 * q^18 + 42 * q^22 - 8 * q^23 - 30 * q^25 - 10 * q^28 + 10 * q^29 - 40 * q^30 + 40 * q^35 + 20 * q^36 + 4 * q^37 + 30 * q^39 + 50 * q^42 - 10 * q^44 - 10 * q^46 + 8 * q^49 - 60 * q^50 - 10 * q^51 - 4 * q^56 - 90 * q^57 - 2 * q^58 + 120 * q^60 - 20 * q^63 - 38 * q^64 - 4 * q^67 - 56 * q^71 + 30 * q^72 + 90 * q^74 + 2 * q^77 - 20 * q^78 + 50 * q^79 - 16 * q^81 - 70 * q^84 + 80 * q^85 + 6 * q^86 - 86 * q^88 - 30 * q^91 + 20 * q^92 - 40 * q^93 - 60 * q^95 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/77\mathbb{Z}\right)^\times$.

$n$	$45$	$57$
$\chi(n)$	$-1$	$e\left(\frac{3}{10}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.41355	−	1.94558i	−0.999528	−	1.37573i	−0.925615	−	0.378467i	$-0.876451\pi$
$2$	−1.41355	−	1.94558i	−0.999528	−	1.37573i	−0.0739128	−	0.997265i	$-0.523549\pi$
$3$	1.63732	−	0.531999i	0.945309	−	0.307150i	0.204501	−	0.978866i	$-0.434443\pi$
$3$	1.63732	−	0.531999i	0.945309	−	0.307150i	0.740808	+	0.671717i	$0.234443\pi$
$4$	−1.16913	+	3.59821i	−0.584565	+	1.79911i
$5$	1.97962	−	2.72471i	0.885312	−	1.21853i	−0.0896092	−	0.995977i	$-0.528562\pi$
$5$	1.97962	−	2.72471i	0.885312	−	1.21853i	0.974921	−	0.222550i	$-0.0714382\pi$
$6$	−3.34948	−	2.43354i	−1.36742	−	0.993488i
$7$	−1.43059	+	2.22563i	−0.540712	+	0.841207i
$7$	−1.43059	+	2.22563i	−0.540712	+	0.841207i
$8$	4.07890	−	1.32531i	1.44211	−	0.468569i
$9$	−0.0292442	+	0.0212472i	−0.00974807	+	0.00708239i
$10$	−8.09942			−2.56126
$11$	−3.01430	+	1.38348i	−0.908844	+	0.417136i
$11$	−3.01430	+	1.38348i	−0.908844	+	0.417136i
$12$			6.51342i			1.88026i
$13$	2.07009	−	1.50401i	0.574140	−	0.417137i	−0.262467	−	0.964941i	$-0.584536\pi$
$13$	2.07009	−	1.50401i	0.574140	−	0.417137i	0.836607	+	0.547804i	$0.184536\pi$
$14$	6.35233	−	0.362697i	1.69773	−	0.0969348i
$15$	1.79173	−	5.51439i	0.462623	−	1.42381i
$16$	−2.22256	−	1.61479i	−0.555641	−	0.403697i
$17$	3.20309	+	2.32718i	0.776863	+	0.564424i	0.904036	−	0.427456i	$-0.140590\pi$
$17$	3.20309	+	2.32718i	0.776863	+	0.564424i	−0.127173	+	0.991881i	$0.540590\pi$
$18$	0.0826761	+	0.0268631i	0.0194869	+	0.00633169i
$19$	−0.102162	−	0.314423i	−0.0234377	−	0.0721337i	0.938654	−	0.344862i	$-0.112074\pi$
$19$	−0.102162	−	0.314423i	−0.0234377	−	0.0721337i	−0.962091	+	0.272728i	$0.912074\pi$
$20$	7.48966	+	10.3086i	1.67474	+	2.30508i
$21$	−1.15831	+	4.40514i	−0.252764	+	0.961281i
$22$	6.95252	+	3.90893i	1.48228	+	0.833387i
$23$	2.85410			0.595121			0.297561	−	0.954703i	$-0.403827\pi$
$23$	2.85410			0.595121			0.297561	+	0.954703i	$0.403827\pi$
$24$	5.97341	−	4.33994i	1.21932	−	0.885886i
$25$	−1.96007	−	6.03249i	−0.392015	−	1.20650i
$26$	−5.85233	−	1.90154i	−1.14774	−	0.372922i
$27$	−3.07234	+	4.22872i	−0.591273	+	0.813817i
$28$	−6.33573	−	7.74962i	−1.19734	−	1.46454i
$29$	−2.36984	−	0.770008i	−0.440068	−	0.142987i	0.0805988	−	0.996747i	$-0.474317\pi$
$29$	−2.36984	−	0.770008i	−0.440068	−	0.142987i	−0.520667	+	0.853760i	$0.674317\pi$
$30$	−13.2614	+	4.30888i	−2.42118	+	0.786690i
$31$	0.130745	+	0.179955i	0.0234824	+	0.0323208i	0.820597	−	0.571508i	$-0.193641\pi$
$31$	0.130745	+	0.179955i	0.0234824	+	0.0323208i	−0.797114	+	0.603828i	$0.793641\pi$
$32$		−	1.97087i		−	0.348404i
$33$	−4.19937	+	3.86881i	−0.731016	+	0.673473i
$34$		−	9.52144i		−	1.63291i
$35$	3.23216	+	8.30383i	0.546335	+	1.40360i
$36$	−0.0422615	−	0.130068i	−0.00704359	−	0.0216779i
$37$	−2.58958	+	7.96991i	−0.425724	+	1.31024i	0.476575	+	0.879134i	$0.341878\pi$
$37$	−2.58958	+	7.96991i	−0.425724	+	1.31024i	−0.902299	+	0.431111i	$0.858122\pi$
$38$	−0.467324	+	0.643217i	−0.0758100	+	0.104344i
$39$	2.58928	−	3.56384i	0.414616	−	0.570670i
$40$	4.46356	−	13.7374i	0.705751	−	2.17208i
$41$	−2.94529	−	9.06468i	−0.459977	−	1.41566i	−0.865191	−	0.501443i	$-0.832803\pi$
$41$	−2.94529	−	9.06468i	−0.459977	−	1.41566i	0.405213	−	0.914222i	$-0.367197\pi$
$42$	10.2079	−	3.97329i	1.57511	−	0.613091i
$43$			1.73205i			0.264135i	0.991241	+	0.132068i	$0.0421616\pi$
$43$			1.73205i			0.264135i	−0.991241	+	0.132068i	$0.957838\pi$
$44$	−1.45396	−	12.4636i	−0.219193	−	1.87895i
$45$			0.121743i			0.0181484i
$46$	−4.03440	−	5.55288i	−0.594840	−	0.818727i
$47$	1.17925	−	0.383160i	0.172011	−	0.0558896i	−0.221746	−	0.975105i	$-0.571175\pi$
$47$	1.17925	−	0.383160i	0.172011	−	0.0558896i	0.393756	+	0.919215i	$0.371175\pi$
$48$	−4.49812	−	1.46153i	−0.649248	−	0.210953i
$49$	−2.90682	−	6.36792i	−0.415260	−	0.909703i
$50$	−8.96602	+	12.3407i	−1.26799	+	1.74523i
$51$	6.48255	+	2.10631i	0.907739	+	0.294942i
$52$	2.99154	+	9.20701i	0.414852	+	1.27678i
$53$	−0.244415	+	0.177578i	−0.0335730	+	0.0243922i	−0.604445	−	0.796647i	$-0.706605\pi$
$53$	−0.244415	+	0.177578i	−0.0335730	+	0.0243922i	0.570872	+	0.821039i	$0.306605\pi$
$54$	12.5702			1.71059
$55$	−2.19756	+	10.9518i	−0.296320	+	1.47675i
$56$	−2.88558	+	10.9741i	−0.385602	+	1.46647i
$57$	−0.334546	−	0.460463i	−0.0443117	−	0.0609898i
$58$	1.85177	+	5.69915i	0.243149	+	0.748335i
$59$	−8.58810	−	2.79044i	−1.11808	−	0.363285i	−0.309042	−	0.951048i	$-0.600009\pi$
$59$	−8.58810	−	2.79044i	−1.11808	−	0.363285i	−0.809033	+	0.587764i	$0.800009\pi$
$60$	17.7472	+	12.8941i	2.29115	+	1.66462i
$61$	4.59826	+	3.34083i	0.588747	+	0.427750i	0.841867	−	0.539685i	$-0.181457\pi$
$61$	4.59826	+	3.34083i	0.588747	+	0.427750i	−0.253120	+	0.967435i	$0.581457\pi$
$62$	0.165302	−	0.508748i	0.0209934	−	0.0646110i
$63$	−0.00545174	−	0.0954827i	−0.000686855	−	0.0120297i
$64$	−8.27961	+	6.01549i	−1.03495	+	0.751936i
$65$		−	8.61776i		−	1.06890i
$66$	13.4631	+	2.70146i	1.65719	+	0.332527i
$67$	−6.57998			−0.803872			−0.401936	−	0.915668i	$-0.631663\pi$
$67$	−6.57998			−0.803872			−0.401936	+	0.915668i	$0.631663\pi$
$68$	−12.1185	+	8.80462i	−1.46959	+	1.06772i
$69$	4.67309	−	1.51838i	0.562574	−	0.182791i
$70$	11.5870	−	18.0263i	1.38491	−	2.15455i
$71$	−4.33320	−	3.14826i	−0.514257	−	0.373629i	0.300179	−	0.953883i	$-0.402954\pi$
$71$	−4.33320	−	3.14826i	−0.514257	−	0.373629i	−0.814436	+	0.580253i	$0.802954\pi$
$72$	−0.0911250	+	0.125423i	−0.0107392	+	0.0147812i
$73$	2.16056	−	6.64953i	0.252875	−	0.778269i	−0.741366	−	0.671101i	$-0.765822\pi$
$73$	2.16056	−	6.64953i	0.252875	−	0.778269i	0.994241	−	0.107168i	$-0.0341782\pi$
$74$	19.1666	−	6.22760i	2.22807	−	0.723943i
$75$	−6.41855	−	8.83438i	−0.741150	−	1.02011i
$76$	1.25080			0.143477
$77$	1.23311	−	8.68789i	0.140526	−	0.990077i
$78$	−10.5938			−1.19951
$79$	1.73702	+	2.39081i	0.195430	+	0.268987i	0.895475	−	0.445113i	$-0.146836\pi$
$79$	1.73702	+	2.39081i	0.195430	+	0.268987i	−0.700044	+	0.714100i	$0.746836\pi$
$80$	−8.79965	+	2.85918i	−0.983831	+	0.319666i
$81$	−2.74724	+	8.45513i	−0.305249	+	0.939459i
$82$	−13.4727	+	18.5436i	−1.48781	+	2.04780i
$83$	6.38726	+	4.64062i	0.701093	+	0.509374i	0.880288	−	0.474440i	$-0.157349\pi$
$83$	6.38726	+	4.64062i	0.701093	+	0.509374i	−0.179195	+	0.983814i	$0.557349\pi$
$84$	−14.4964	−	9.31803i	−1.58169	−	1.01668i
$85$	12.6818	−	4.12056i	1.37553	−	0.446938i
$86$	3.36984	−	2.44833i	0.363379	−	0.264010i
$87$	−4.28984			−0.459919
$88$	−10.4615	+	9.63797i	−1.11519	+	1.02741i
$89$		−	3.66560i		−	0.388553i	−0.980947	−	0.194277i	$-0.937764\pi$
$89$		−	3.66560i		−	0.388553i	0.980947	−	0.194277i	$-0.0622359\pi$
$90$	0.236861	−	0.172090i	0.0249674	−	0.0181398i
$91$	0.385909	+	6.75887i	0.0404542	+	0.708522i
$92$	−3.33682	+	10.2697i	−0.347887	+	1.07069i
$93$	0.309807	+	0.225088i	0.0321255	+	0.0233405i
$94$	−2.41238	−	1.75270i	−0.248818	−	0.180777i
$95$	−1.05896	−	0.344075i	−0.108647	−	0.0353014i
$96$	−1.04850	−	3.22695i	−0.107012	−	0.329350i
$97$	−8.01617	−	11.0333i	−0.813919	−	1.12026i	−0.990707	−	0.136014i	$-0.956571\pi$
$97$	−8.01617	−	11.0333i	−0.813919	−	1.12026i	0.176788	−	0.984249i	$-0.443429\pi$
$98$	−8.28036	+	14.6568i	−0.836443	+	1.48056i
$99$	0.0587556	−	0.104504i	0.00590516	−	0.0105031i
$100$	23.9978			2.39978
$101$	−8.54783	+	6.21036i	−0.850541	+	0.617954i	−0.925295	−	0.379248i	$-0.876183\pi$
$101$	−8.54783	+	6.21036i	−0.850541	+	0.617954i	0.0747544	+	0.997202i	$0.476183\pi$
$102$	−5.06539	−	15.5897i	−0.501549	−	1.54361i
$103$	16.8431	+	5.47267i	1.65960	+	0.539238i	0.980789	−	0.195070i	$-0.0624935\pi$
$103$	16.8431	+	5.47267i	1.65960	+	0.539238i	0.678816	+	0.734309i	$0.262494\pi$
$104$	6.45040	−	8.87822i	0.632514	−	0.870581i
$105$	9.70973	+	11.8766i	0.947572	+	1.15903i
$106$	0.690983	+	0.224514i	0.0671142	+	0.0218067i
$107$	−17.2583	+	5.60758i	−1.66843	+	0.542105i	−0.982612	−	0.185671i	$-0.940554\pi$
$107$	−17.2583	+	5.60758i	−1.66843	+	0.542105i	−0.685815	+	0.727776i	$0.740554\pi$
$108$	−11.6239	−	15.9989i	−1.11851	−	1.53949i
$109$			1.48774i			0.142500i	0.997458	+	0.0712499i	$0.0226988\pi$
$109$			1.48774i			0.142500i	−0.997458	+	0.0712499i	$0.977301\pi$
$110$	24.4140	−	11.2054i	2.32779	−	1.06839i
$111$			14.4270i			1.36935i
$112$	6.77349	−	2.63649i	0.640034	−	0.249125i
$113$	−3.56881	−	10.9837i	−0.335725	−	1.03326i	−0.966364	−	0.257179i	$-0.917207\pi$
$113$	−3.56881	−	10.9837i	−0.335725	−	1.03326i	0.630639	−	0.776076i	$-0.282793\pi$
$114$	−0.422971	+	1.30177i	−0.0396148	+	0.121922i
$115$	5.65003	−	7.77660i	0.526868	−	0.725172i
$116$	5.54131	−	7.62695i	0.514497	−	0.708145i
$117$	−0.0285823	+	0.0879671i	−0.00264243	+	0.00813256i
$118$	6.71064	+	20.6532i	0.617765	+	1.90128i
$119$	−9.76174	+	3.79963i	−0.894857	+	0.348312i
$120$		−	24.8672i		−	2.27006i
$121$	7.17195	−	8.34045i	0.651996	−	0.758223i
$122$		−	13.6687i		−	1.23751i
$123$	−9.64480	−	13.2749i	−0.869642	−	1.19696i
$124$	−0.800373	+	0.260057i	−0.0718756	+	0.0233538i
$125$	−4.30153	−	1.39765i	−0.384740	−	0.125010i
$126$	−0.178063	+	0.145576i	−0.0158631	+	0.0129689i
$127$	6.42922	−	8.84906i	0.570501	−	0.785227i	−0.422113	−	0.906543i	$-0.638711\pi$
$127$	6.42922	−	8.84906i	0.570501	−	0.785227i	0.992614	+	0.121316i	$0.0387114\pi$
$128$	19.6584	+	6.38740i	1.73757	+	0.564571i
$129$	0.921449	+	2.83593i	0.0811291	+	0.249690i
$130$	−16.7665	+	12.1816i	−1.47052	+	1.06840i
$131$	−5.67097			−0.495475			−0.247737	−	0.968827i	$-0.579687\pi$
$131$	−5.67097			−0.495475			−0.247737	+	0.968827i	$0.579687\pi$
$132$	−9.01120	−	19.6334i	−0.784324	−	1.70887i
$133$	0.845942	+	0.222436i	0.0733524	+	0.0192877i
$134$	9.30110	+	12.8019i	0.803492	+	1.10591i
$135$	5.43997	+	16.7425i	0.468198	+	1.44096i
$136$	16.1493	+	5.24723i	1.38479	+	0.449946i
$137$	14.3140	+	10.3997i	1.22293	+	0.888510i	0.996340	−	0.0854810i	$-0.0272427\pi$
$137$	14.3140	+	10.3997i	1.22293	+	0.888510i	0.226589	+	0.973991i	$0.427243\pi$
$138$	−9.55975	−	6.94556i	−0.813780	−	0.591246i
$139$	−0.550573	+	1.69449i	−0.0466990	+	0.143725i	−0.971687	−	0.236271i	$-0.924075\pi$
$139$	−0.550573	+	1.69449i	−0.0466990	+	0.143725i	0.924988	+	0.379996i	$0.124075\pi$
$140$	−33.6578	+	1.92175i	−2.84460	+	0.162417i
$141$	1.72697	−	1.25471i	0.145437	−	0.105666i
$142$			12.8808i			1.08093i
$143$	−4.15910	+	7.39746i	−0.347801	+	0.618607i
$144$	0.0993067			0.00827556
$145$	−6.78943	+	4.93281i	−0.563831	+	0.409647i
$146$	−15.9912	+	5.19587i	−1.32344	+	0.430013i
$147$	−8.14713	−	8.87992i	−0.671964	−	0.732404i
$148$	−25.6499	−	18.6357i	−2.10841	−	1.53185i
$149$	8.24754	−	11.3518i	0.675665	−	0.929973i	−0.324207	−	0.945986i	$-0.605097\pi$
$149$	8.24754	−	11.3518i	0.675665	−	0.929973i	0.999872	+	0.0160134i	$0.00509743\pi$
$150$	−8.11506	+	24.9756i	−0.662592	+	2.03925i
$151$	−1.94232	+	0.631099i	−0.158064	+	0.0513581i	−0.386980	−	0.922088i	$-0.626482\pi$
$151$	−1.94232	+	0.631099i	−0.158064	+	0.0513581i	0.228916	+	0.973446i	$0.426482\pi$
$152$	−0.833420	−	1.14710i	−0.0675993	−	0.0930424i
$153$	−0.143118			−0.0115704
$154$	−18.6460	+	9.88162i	−1.50254	+	0.796283i
$155$	0.749148			0.0601730
$156$	9.79624	+	13.4834i	0.784327	+	1.07953i
$157$	7.24884	−	2.35529i	0.578521	−	0.187973i	−0.00511708	−	0.999987i	$-0.501629\pi$
$157$	7.24884	−	2.35529i	0.578521	−	0.187973i	0.583638	+	0.812014i	$0.301629\pi$
$158$	2.19614	−	6.75903i	0.174716	−	0.537719i
$159$	−0.305715	+	0.420781i	−0.0242448	+	0.0333701i
$160$	−5.37005	−	3.90157i	−0.424540	−	0.308446i
$161$	−4.08305	+	6.35216i	−0.321790	+	0.500621i
$162$	20.3335	−	6.60674i	1.59755	−	0.519075i
$163$	15.2078	−	11.0491i	1.19116	−	0.865432i	0.197778	−	0.980247i	$-0.436628\pi$
$163$	15.2078	−	11.0491i	1.19116	−	0.865432i	0.993387	+	0.114815i	$0.0366276\pi$
$164$	36.0601			2.81582
$165$	2.22824	+	19.1008i	0.173469	+	1.48700i
$166$		−	18.9866i		−	1.47365i
$167$	15.8409	−	11.5091i	1.22581	−	0.890600i	0.229237	−	0.973371i	$-0.426377\pi$
$167$	15.8409	−	11.5091i	1.22581	−	0.890600i	0.996569	+	0.0827710i	$0.0263770\pi$
$168$	1.11357	+	19.5033i	0.0859138	+	1.50471i
$169$	−1.99399	+	6.13687i	−0.153384	+	0.472067i
$170$	−25.9432	−	18.8488i	−1.98975	−	1.44564i
$171$	0.00966827	+	0.00702441i	0.000739351	+	0.000537170i
$172$	−6.23229	−	2.02499i	−0.475208	−	0.154404i
$173$	2.74299	+	8.44205i	0.208546	+	0.641837i	0.999549	+	0.0300258i	$0.00955893\pi$
$173$	2.74299	+	8.44205i	0.208546	+	0.641837i	−0.791004	+	0.611812i	$0.790441\pi$
$174$	6.06388	+	8.34622i	0.459702	+	0.632725i
$175$	16.2301	+	4.26763i	1.22688	+	0.322602i
$176$	8.93349	+	1.79257i	0.673387	+	0.135120i
$177$	−15.5460			−1.16851
$178$	−7.13172	+	5.18150i	−0.534545	+	0.388370i
$179$	2.75756	+	8.48688i	0.206109	+	0.634339i	0.999666	+	0.0258430i	$0.00822701\pi$
$179$	2.75756	+	8.48688i	0.206109	+	0.634339i	−0.793557	+	0.608496i	$0.791773\pi$
$180$	−0.438058	−	0.142334i	−0.0326509	−	0.0106089i
$181$	7.09742	−	9.76877i	0.527547	−	0.726107i	−0.459207	−	0.888329i	$-0.651866\pi$
$181$	7.09742	−	9.76877i	0.527547	−	0.726107i	0.986754	+	0.162223i	$0.0518663\pi$
$182$	12.6044	−	10.3048i	0.934301	−	0.763841i
$183$	9.30616	+	3.02375i	0.687931	+	0.223522i
$184$	11.6416	−	3.78258i	0.858229	−	0.278856i
$185$	16.5893	+	22.8332i	1.21967	+	1.67873i
$186$		−	0.920926i		−	0.0675255i
$187$	−12.8747	−	2.58339i	−0.941489	−	0.188916i
$188$			4.69114i			0.342137i
$189$	−5.01628	−	12.8875i	−0.364881	−	0.937424i
$190$	0.827456	+	2.54665i	0.0600299	+	0.184753i
$191$	4.02606	−	12.3909i	0.291315	−	0.896576i	−0.693119	−	0.720823i	$-0.743764\pi$
$191$	4.02606	−	12.3909i	0.291315	−	0.896576i	0.984434	−	0.175753i	$-0.0562360\pi$
$192$	−10.3562	+	14.2540i	−0.747392	+	1.02870i
$193$	−7.70307	+	10.6024i	−0.554479	+	0.763175i	−0.990611	−	0.136708i	$-0.956348\pi$
$193$	−7.70307	+	10.6024i	−0.554479	+	0.763175i	0.436133	+	0.899882i	$0.356348\pi$
$194$	−10.1349	+	31.1922i	−0.727647	+	2.23947i
$195$	−4.58464	−	14.1101i	−0.328313	−	1.01044i
$196$	26.3116	−	3.01443i	1.87940	−	0.215317i
$197$			5.90687i			0.420847i	0.977610	+	0.210424i	$0.0674843\pi$
$197$			5.90687i			0.420847i	−0.977610	+	0.210424i	$0.932516\pi$
$198$	−0.286375	+	0.0334076i	−0.0203518	+	0.00237417i
$199$			7.10548i			0.503694i	0.967767	+	0.251847i	$0.0810380\pi$
$199$			7.10548i			0.503694i	−0.967767	+	0.251847i	$0.918962\pi$
$200$	−15.9899	−	22.0082i	−1.13066	−	1.55621i
$201$	−10.7736	+	3.50054i	−0.759908	+	0.246909i
$202$	24.1655	+	7.85184i	1.70028	+	0.552454i
$203$	5.10402	−	4.17281i	0.358232	−	0.292874i
$204$	−15.1579	+	20.8631i	−1.06127	+	1.46071i
$205$	−30.5292	−	9.91953i	−2.13225	−	0.692810i
$206$	−13.1610	−	40.5055i	−0.916974	−	2.82215i
$207$	−0.0834660	+	0.0606416i	−0.00580129	+	0.00421488i
$208$	−7.02956			−0.487412
$209$	0.742947	+	0.806425i	0.0513907	+	0.0557816i
$210$	9.38164	−	35.6791i	0.647394	−	2.46209i
$211$	−0.210075	−	0.289144i	−0.0144622	−	0.0199055i	0.801725	−	0.597694i	$-0.203916\pi$
$211$	−0.210075	−	0.289144i	−0.0144622	−	0.0199055i	−0.816187	+	0.577788i	$0.803916\pi$
$212$	−0.353210	−	1.08707i	−0.0242586	−	0.0746602i
$213$	−8.76973	−	2.84946i	−0.600892	−	0.195242i
$214$	35.3054	+	25.6509i	2.41343	+	1.75346i
$215$	4.71934	+	3.42880i	0.321856	+	0.233842i
$216$	−6.92740	+	21.3203i	−0.471350	+	1.45066i
$217$	−0.587554	+	0.0335473i	−0.0398857	+	0.00227734i
$218$	2.89452	−	2.10299i	0.196041	−	0.142432i
$219$		−	12.0369i		−	0.813375i
$220$	−36.8378	−	20.7114i	−2.48361	−	1.39637i
$221$	10.1308			0.681470
$222$	28.0688	−	20.3932i	1.88385	−	1.36870i
$223$	7.60544	−	2.47116i	0.509298	−	0.165481i	−0.0430849	−	0.999071i	$-0.513719\pi$
$223$	7.60544	−	2.47116i	0.509298	−	0.165481i	0.552383	+	0.833590i	$0.313719\pi$
$224$	4.38642	+	2.81951i	0.293080	+	0.188386i
$225$	0.185494	+	0.134769i	0.0123663	+	0.00898462i
$226$	−16.3249	+	22.4693i	−1.08592	+	1.49463i
$227$	8.47502	−	26.0834i	0.562507	−	1.73122i	−0.112739	−	0.993625i	$-0.535962\pi$
$227$	8.47502	−	26.0834i	0.562507	−	1.73122i	0.675245	−	0.737593i	$-0.264038\pi$
$228$	2.04797	−	0.665426i	0.135630	−	0.0440689i
$229$	0.104606	+	0.143978i	0.00691257	+	0.00951433i	0.812459	−	0.583018i	$-0.198128\pi$
$229$	0.104606	+	0.143978i	0.00691257	+	0.00951433i	−0.805547	+	0.592532i	$0.798128\pi$
$230$	−23.1166			−1.52426
$231$	−2.60295	−	14.8809i	−0.171261	−	0.979092i
$232$	−10.6868			−0.701625
$233$	5.12224	+	7.05016i	0.335569	+	0.461871i	0.943141	−	0.332394i	$-0.107856\pi$
$233$	5.12224	+	7.05016i	0.335569	+	0.461871i	−0.607572	+	0.794265i	$0.707856\pi$
$234$	0.211549	−	0.0687365i	0.0138294	−	0.00449345i
$235$	1.29045	−	3.97161i	0.0841800	−	0.259079i
$236$	20.0812	−	27.6394i	1.30718	−	1.79917i
$237$	4.11598	+	2.99043i	0.267361	+	0.194249i
$238$	21.1912	+	13.6213i	1.37362	+	0.882936i
$239$	−4.42849	+	1.43891i	−0.286455	+	0.0930750i	−0.448720	−	0.893672i	$-0.648120\pi$
$239$	−4.42849	+	1.43891i	−0.286455	+	0.0930750i	0.162265	+	0.986747i	$0.448120\pi$
$240$	−12.8868	+	9.36280i	−0.831839	+	0.604366i
$241$	−6.84861			−0.441158			−0.220579	−	0.975369i	$-0.570795\pi$
$241$	−6.84861			−0.441158			−0.220579	+	0.975369i	$0.570795\pi$
$242$	−26.3649	−	2.16400i	−1.69480	−	0.139107i
$243$		−	0.375639i		−	0.0240972i
$244$	−17.3970	+	12.6397i	−1.11373	+	0.809171i
$245$	−23.1051	−	4.68580i	−1.47613	−	0.299365i
$246$	−12.1940	+	37.5294i	−0.777464	+	2.39279i
$247$	−0.684381	−	0.497232i	−0.0435461	−	0.0316381i
$248$	0.771790	+	0.560738i	0.0490087	+	0.0356069i
$249$	12.9268	+	4.20018i	0.819204	+	0.266176i
$250$	3.36117	+	10.3446i	0.212579	+	0.654250i
$251$	−5.52813	−	7.60882i	−0.348932	−	0.480264i	0.598091	−	0.801428i	$-0.295926\pi$
$251$	−5.52813	−	7.60882i	−0.348932	−	0.480264i	−0.947024	+	0.321164i	$0.895926\pi$
$252$	0.349941	+	0.0920152i	0.0220442	+	0.00579641i
$253$	−8.60311	+	3.94860i	−0.540873	+	0.248246i
$254$	−26.3045			−1.65049
$255$	18.5721	−	13.4934i	1.16303	−	0.844989i
$256$	−9.03578	−	27.8093i	−0.564736	−	1.73808i
$257$	−5.42924	−	1.76407i	−0.338666	−	0.110039i	0.134746	−	0.990880i	$-0.456978\pi$
$257$	−5.42924	−	1.76407i	−0.338666	−	0.110039i	−0.473413	+	0.880841i	$0.656978\pi$
$258$	4.21501	−	5.80146i	0.262415	−	0.361183i
$259$	−14.0334	−	17.1651i	−0.871993	−	1.06659i
$260$	31.0085	+	10.0753i	1.92307	+	0.624843i
$261$	0.0856646	−	0.0278341i	0.00530251	−	0.00172289i
$262$	8.01617	+	11.0333i	0.495241	+	0.681640i
$263$		−	3.07375i		−	0.189535i	−0.995499	−	0.0947677i	$-0.969789\pi$
$263$		−	3.07375i		−	0.189535i	0.995499	−	0.0947677i	$-0.0302108\pi$
$264$	−12.0014	+	21.3460i	−0.738635	+	1.31375i
$265$			1.01750i			0.0625043i
$266$	−0.763010	−	1.96027i	−0.0467831	−	0.120192i
$267$	−1.95010	−	6.00178i	−0.119344	−	0.367303i
$268$	7.69285	−	23.6762i	0.469916	−	1.44625i
$269$	−7.00996	+	9.64838i	−0.427405	+	0.588272i	−0.967355	−	0.253425i	$-0.918443\pi$
$269$	−7.00996	+	9.64838i	−0.427405	+	0.588272i	0.539950	+	0.841697i	$0.318443\pi$
$270$	24.8842	−	34.2502i	1.51440	−	2.08440i
$271$	0.480263	−	1.47810i	0.0291739	−	0.0897880i	−0.935409	−	0.353567i	$-0.884969\pi$
$271$	0.480263	−	1.47810i	0.0291739	−	0.0897880i	0.964583	+	0.263779i	$0.0849688\pi$
$272$	−3.36117	−	10.3446i	−0.203801	−	0.627234i
$273$	4.22757	+	10.8612i	0.255864	+	0.657347i
$274$		−	42.5495i		−	2.57051i
$275$	14.2541	+	15.4720i	0.859553	+	0.932995i
$276$			18.5900i			1.11898i
$277$	7.42426	+	10.2186i	0.446081	+	0.613977i	0.971550	−	0.236835i	$-0.0761102\pi$
$277$	7.42426	+	10.2186i	0.446081	+	0.613977i	−0.525469	+	0.850813i	$0.676110\pi$
$278$	4.07502	−	1.32405i	0.244403	−	0.0794115i
$279$	−0.00764705	−	0.00248468i	−0.000457817	−	0.000148754i
$280$	24.1888	+	29.5869i	1.44556	+	1.76815i
$281$	−10.6681	+	14.6834i	−0.636405	+	0.875936i	−0.998417	−	0.0562370i	$-0.982090\pi$
$281$	−10.6681	+	14.6834i	−0.636405	+	0.875936i	0.362012	+	0.932173i	$0.382090\pi$
$282$	−4.88229	−	1.58635i	−0.290736	−	0.0944659i
$283$	5.93709	+	18.2725i	0.352924	+	1.08619i	0.957204	+	0.289415i	$0.0934608\pi$
$283$	5.93709	+	18.2725i	0.352924	+	1.08619i	−0.604280	+	0.796772i	$0.706539\pi$
$284$	16.3942	−	11.9111i	0.972816	−	0.706792i
$285$	−1.91690			−0.113547
$286$	20.2714	−	2.36480i	1.19867	−	0.139834i
$287$	24.3881	+	6.41272i	1.43958	+	0.378531i
$288$	0.0418754	+	0.0576366i	0.00246753	+	0.00339627i
$289$	−0.409279	−	1.25963i	−0.0240752	−	0.0740959i
$290$	19.1943	+	6.23662i	1.12713	+	0.366227i
$291$	−18.9948	−	13.8005i	−1.11349	−	0.809000i
$292$	21.4005	+	15.5483i	1.25237	+	0.909898i
$293$	−6.86030	+	21.1138i	−0.400783	+	1.23348i	0.523582	+	0.851975i	$0.324595\pi$
$293$	−6.86030	+	21.1138i	−0.400783	+	1.23348i	−0.924365	+	0.381508i	$0.875405\pi$
$294$	−5.76024	+	28.4031i	−0.335944	+	1.65650i
$295$	−24.6043	+	17.8761i	−1.43252	+	1.04079i
$296$			35.9404i			2.08900i
$297$	3.41060	−	16.9971i	0.197903	−	0.986274i
$298$	−33.7440			−1.95474
$299$	5.90825	−	4.29259i	0.341683	−	0.248247i
$300$	39.2921	−	12.7668i	2.26853	−	0.737090i
$301$	−3.85490	−	2.47786i	−0.222193	−	0.142821i
$302$	3.97341	+	2.88685i	0.228644	+	0.166120i
$303$	−10.6917	+	14.7158i	−0.614220	+	0.845401i
$304$	−0.280664	+	0.863796i	−0.0160972	+	0.0495421i
$305$	18.2056	−	5.91536i	1.04245	−	0.338712i
$306$	0.202304	+	0.278447i	0.0115649	+	0.0159178i
$307$	−8.33503			−0.475705			−0.237853	−	0.971301i	$-0.576444\pi$
$307$	−8.33503			−0.475705			−0.237853	+	0.971301i	$0.576444\pi$
$308$	29.8192	+	14.5943i	1.69911	+	0.831586i
$309$	30.4891			1.73447
$310$	−1.05896	−	1.45753i	−0.0601446	−	0.0827820i
$311$	−22.8294	+	7.41771i	−1.29453	+	0.420620i	−0.873677	−	0.486507i	$-0.838271\pi$
$311$	−22.8294	+	7.41771i	−1.29453	+	0.420620i	−0.420857	+	0.907127i	$0.638271\pi$
$312$	5.83820	−	17.9681i	0.330523	−	1.01724i
$313$	19.4727	−	26.8019i	1.10066	−	1.51493i	0.266159	−	0.963929i	$-0.414245\pi$
$313$	19.4727	−	26.8019i	1.10066	−	1.51493i	0.834503	−	0.551003i	$-0.185755\pi$
$314$	−14.8290	−	10.7739i	−0.836847	−	0.608005i
$315$	−0.270955	−	0.174165i	−0.0152666	−	0.00981308i
$316$	−10.6334	+	3.45501i	−0.598178	+	0.194360i
$317$	−11.6273	+	8.44775i	−0.653056	+	0.474473i	−0.864311	−	0.502958i	$-0.832245\pi$
$317$	−11.6273	+	8.44775i	−0.653056	+	0.474473i	0.211255	+	0.977431i	$0.432245\pi$
$318$	1.25080			0.0701416
$319$	8.20869	−	0.957601i	0.459599	−	0.0536154i
$320$			34.4679i			1.92681i
$321$	−25.2743	+	18.3628i	−1.41067	+	1.02491i
$322$	18.1302	−	1.03517i	1.01036	−	0.0576880i
$323$	0.404485	−	1.24488i	0.0225061	−	0.0692668i
$324$	−27.2115	−	19.7703i	−1.51175	−	1.09835i
$325$	−13.1304	−	9.53983i	−0.728346	−	0.529174i
$326$	−42.9938	−	13.9695i	−2.38120	−	0.773700i
$327$	0.791476	+	2.43591i	0.0437687	+	0.134706i
$328$	−24.0271	−	33.0705i	−1.32667	−	1.82601i
$329$	−0.834246	+	3.17270i	−0.0459935	+	0.174917i
$330$	34.0124	−	31.3351i	1.87232	−	1.72494i
$331$	−6.28233			−0.345308			−0.172654	−	0.984983i	$-0.555234\pi$
$331$	−6.28233			−0.345308			−0.172654	+	0.984983i	$0.555234\pi$
$332$	−24.1655	+	17.5573i	−1.32625	+	0.963579i
$333$	−0.0936077	−	0.288095i	−0.00512967	−	0.0157875i
$334$	−44.7837	−	14.5511i	−2.45045	−	0.796200i
$335$	−13.0258	+	17.9285i	−0.711678	+	0.979540i
$336$	9.68778	−	7.92028i	0.528512	−	0.432087i
$337$	22.2836	+	7.24037i	1.21386	+	0.394408i	0.844844	−	0.535013i	$-0.179693\pi$
$337$	22.2836	+	7.24037i	1.21386	+	0.394408i	0.369020	+	0.929421i	$0.379693\pi$
$338$	14.7583	−	4.79528i	0.802748	−	0.260829i
$339$	−11.6866	−	16.0852i	−0.634728	−	0.873628i
$340$			50.4492i			2.73599i
$341$	−0.643067	−	0.361553i	−0.0348240	−	0.0195792i
$342$		−	0.0287397i		−	0.00155406i
$343$	18.3311	+	2.64039i	0.989785	+	0.142568i
$344$	2.29551	+	7.06486i	0.123766	+	0.380912i
$345$	5.11379	−	15.7386i	0.275317	−	0.847339i
$346$	12.5473	−	17.2699i	0.674549	−	0.928437i
$347$	−10.5408	+	14.5082i	−0.565859	+	0.778838i	−0.992057	−	0.125792i	$-0.959853\pi$
$347$	−10.5408	+	14.5082i	−0.565859	+	0.778838i	0.426197	+	0.904630i	$0.359853\pi$
$348$	5.01538	−	15.4358i	0.268853	−	0.827444i
$349$	6.73325	+	20.7228i	0.360423	+	1.10927i	0.952798	+	0.303605i	$0.0981902\pi$
$349$	6.73325	+	20.7228i	0.360423	+	1.10927i	−0.592375	+	0.805662i	$0.701810\pi$
$350$	−14.6390	−	37.6095i	−0.782488	−	2.01031i
$351$			13.3747i			0.713887i
$352$	2.72666	+	5.94079i	0.145332	+	0.316645i
$353$			16.3753i			0.871570i	0.900051	+	0.435785i	$0.143529\pi$
$353$			16.3753i			0.871570i	−0.900051	+	0.435785i	$0.856471\pi$
$354$	21.9750	+	30.2460i	1.16796	+	1.60756i
$355$	−17.1562	+	5.57438i	−0.910555	+	0.295857i
$356$	13.1896	+	4.28557i	0.699049	+	0.227135i
$357$	−13.9617	+	11.4145i	−0.738933	+	0.604118i
$358$	12.6140	−	17.3616i	0.666669	−	0.917591i
$359$	−17.3175	−	5.62680i	−0.913983	−	0.296971i	−0.185987	−	0.982552i	$-0.559548\pi$
$359$	−17.3175	−	5.62680i	−0.913983	−	0.296971i	−0.727996	+	0.685581i	$0.759548\pi$
$360$	0.161348	+	0.496578i	0.00850379	+	0.0261720i
$361$	15.2829	−	11.1037i	0.804363	−	0.584404i
$362$	−29.0384			−1.52623
$363$	7.30570	−	17.4715i	0.383450	−	0.917015i
$364$	−24.7710	−	6.51342i	−1.29835	−	0.341396i
$365$	−13.8410	−	19.0504i	−0.724469	−	0.997146i
$366$	−7.27173	−	22.3801i	−0.380099	−	1.16983i
$367$	0.800373	+	0.260057i	0.0417791	+	0.0135749i	0.329832	−	0.944040i	$-0.393008\pi$
$367$	0.800373	+	0.260057i	0.0417791	+	0.0135749i	−0.288053	+	0.957615i	$0.593008\pi$
$368$	−6.34342	−	4.60876i	−0.330674	−	0.240248i
$369$	0.278732	+	0.202510i	0.0145102	+	0.0105423i
$370$	20.9741	−	64.5516i	1.09039	−	3.35588i
$371$	−0.0455641	−	0.798017i	−0.00236557	−	0.0414310i
$372$	−1.17212	+	0.851594i	−0.0607715	+	0.0441531i
$373$		−	25.9152i		−	1.34184i	−0.741530	−	0.670920i	$-0.765899\pi$
$373$		−	25.9152i		−	1.34184i	0.741530	−	0.670920i	$-0.234101\pi$
$374$	13.1727	+	28.7004i	0.681146	+	1.48406i
$375$	−7.78655			−0.402095
$376$	4.30221	−	3.12574i	0.221870	−	0.161198i
$377$	−6.06388	+	1.97028i	−0.312306	+	0.101474i
$378$	−17.9828	+	27.9766i	−0.924936	+	1.43896i
$379$	−7.12191	−	5.17437i	−0.365828	−	0.265790i	0.389651	−	0.920963i	$-0.372596\pi$
$379$	−7.12191	−	5.17437i	−0.365828	−	0.265790i	−0.755479	+	0.655173i	$0.772596\pi$
$380$	2.47611	−	3.40808i	0.127022	−	0.174831i
$381$	5.81903	−	17.9091i	0.298118	−	0.917512i
$382$	−29.7985	+	9.68213i	−1.52463	+	0.495381i
$383$	7.69669	+	10.5936i	0.393282	+	0.541307i	0.959042	−	0.283263i	$-0.0914170\pi$
$383$	7.69669	+	10.5936i	0.393282	+	0.541307i	−0.565760	+	0.824570i	$0.691417\pi$
$384$	35.5852			1.81595
$385$	−21.2309	−	20.5586i	−1.08203	−	1.04776i
$386$	31.5164			1.60414
$387$	−0.0368012	−	0.0506525i	−0.00187071	−	0.00257481i
$388$	49.0722	−	15.9445i	2.49126	−	0.809460i
$389$	−3.10459	+	9.55495i	−0.157409	+	0.484455i	−0.998397	−	0.0565986i	$-0.981974\pi$
$389$	−3.10459	+	9.55495i	−0.157409	+	0.484455i	0.840988	+	0.541054i	$0.181974\pi$
$390$	−20.9716	+	28.8650i	−1.06194	+	1.46164i
$391$	9.14194	+	6.64201i	0.462328	+	0.335901i
$392$	−20.2961	−	22.1216i	−1.02511	−	1.11731i
$393$	−9.28521	+	3.01695i	−0.468377	+	0.152185i
$394$	11.4923	−	8.34963i	0.578973	−	0.420648i
$395$	9.95290			0.500785
$396$	0.307335	+	0.333594i	0.0154442	+	0.0167637i
$397$		−	15.4703i		−	0.776431i	−0.921569	−	0.388215i	$-0.873092\pi$
$397$		−	15.4703i		−	0.776431i	0.921569	−	0.388215i	$-0.126908\pi$
$398$	13.8243	−	10.0439i	0.692948	−	0.503456i
$399$	1.50342	−	0.0858400i	0.0752649	−	0.00429738i
$400$	−5.38479	+	16.5727i	−0.269239	+	0.828634i
$401$	26.0865	+	18.9530i	1.30270	+	0.946467i	0.999978	−	0.00661188i	$-0.00210464\pi$
$401$	26.0865	+	18.9530i	1.30270	+	0.946467i	0.302722	+	0.953079i	$0.402105\pi$
$402$	22.0395	+	16.0126i	1.09923	+	0.798637i
$403$	0.541306	+	0.175881i	0.0269644	+	0.00876126i
$404$	−12.3527	−	38.0176i	−0.614569	−	1.89145i
$405$	17.5993	+	24.2234i	0.874516	+	1.20367i
$406$	−15.3333	−	4.03181i	−0.760979	−	0.200096i
$407$	−3.22047	−	27.6063i	−0.159633	−	1.36839i
$408$	29.2332			1.44726
$409$	−4.07175	+	2.95830i	−0.201335	+	0.146278i	−0.683885	−	0.729590i	$-0.739711\pi$
$409$	−4.07175	+	2.95830i	−0.201335	+	0.146278i	0.482550	+	0.875869i	$0.339711\pi$
$410$	23.8552	+	73.4186i	1.17812	+	3.62589i
$411$	28.9693	+	9.41270i	1.42895	+	0.464294i
$412$	−39.3837	+	54.2070i	−1.94029	+	2.67059i
$413$	18.4965	−	15.1219i	0.910155	−	0.744101i
$414$	0.235966	+	0.0766700i	0.0115971	+	0.00376812i
$415$	25.2887	−	8.21679i	1.24137	−	0.403346i
$416$	−2.96421	−	4.07988i	−0.145332	−	0.200033i
$417$			3.06733i			0.150208i
$418$	0.518775	−	2.58538i	0.0253741	−	0.126455i
$419$		−	16.8991i		−	0.825577i	−0.910827	−	0.412789i	$-0.864555\pi$
$419$		−	16.8991i		−	0.825577i	0.910827	−	0.412789i	$-0.135445\pi$
$420$	−54.0863	+	21.0524i	−2.63914	+	1.02725i
$421$	7.70997	+	23.7288i	0.375761	+	1.15647i	0.942964	+	0.332895i	$0.108026\pi$
$421$	7.70997	+	23.7288i	0.375761	+	1.15647i	−0.567203	+	0.823578i	$0.691974\pi$
$422$	−0.265601	+	0.817435i	−0.0129292	+	0.0397921i
$423$	−0.0263450	+	0.0362608i	−0.00128094	+	0.00176306i
$424$	−0.761597	+	1.04825i	−0.0369864	+	0.0509074i
$425$	7.76039	−	23.8840i	0.376434	−	1.15855i
$426$	6.85257	+	21.0900i	0.332008	+	1.02182i
$427$	−14.0137	+	5.45464i	−0.678169	+	0.263969i
$428$		−	68.6552i		−	3.31857i
$429$	−2.87435	+	14.3247i	−0.138775	+	0.691602i
$430$		−	14.0286i		−	0.676519i
$431$	−11.7588	−	16.1846i	−0.566403	−	0.779587i	0.425720	−	0.904855i	$-0.360021\pi$
$431$	−11.7588	−	16.1846i	−0.566403	−	0.779587i	−0.992123	+	0.125268i	$0.960021\pi$
$432$	13.6570	−	4.43741i	0.657070	−	0.213495i
$433$	−36.6448	−	11.9066i	−1.76104	−	0.572195i	−0.763729	−	0.645537i	$-0.776634\pi$
$433$	−36.6448	−	11.9066i	−1.76104	−	0.572195i	−0.997307	+	0.0733411i	$0.976634\pi$
$434$	0.895803	+	1.09571i	0.0429999	+	0.0525958i
$435$	−8.49224	+	11.6886i	−0.407172	+	0.560424i
$436$	−5.35321	−	1.73936i	−0.256372	−	0.0833004i
$437$	−0.291582	−	0.897397i	−0.0139483	−	0.0429283i
$438$	−23.4186	+	17.0146i	−1.11899	+	0.812991i
$439$	24.1486			1.15255			0.576275	−	0.817256i	$-0.304506\pi$
$439$	24.1486			1.15255			0.576275	+	0.817256i	$0.304506\pi$
$440$	5.55100	+	47.5839i	0.264633	+	2.26847i
$441$	0.220308	+	0.124463i	0.0104909	+	0.00592681i
$442$	−14.3203	−	19.7102i	−0.681148	−	0.937520i
$443$	6.32289	+	19.4598i	0.300409	+	0.924565i	0.981350	+	0.192227i	$0.0615710\pi$
$443$	6.32289	+	19.4598i	0.300409	+	0.924565i	−0.680941	+	0.732338i	$0.738429\pi$
$444$	−51.9113	−	16.8670i	−2.46360	−	0.800473i
$445$	−9.98771	−	7.25650i	−0.473463	−	0.343991i
$446$	−15.5585	−	11.3039i	−0.736715	−	0.535255i
$447$	7.46477	−	22.9742i	0.353071	−	1.08664i
$448$	−1.54349	−	27.0330i	−0.0729232	−	1.27719i
$449$	−0.585232	+	0.425196i	−0.0276188	+	0.0200662i	−0.601509	−	0.798866i	$-0.705434\pi$
$449$	−0.585232	+	0.425196i	−0.0276188	+	0.0200662i	0.573890	+	0.818932i	$0.305434\pi$
$450$		−	0.551396i		−	0.0259931i
$451$	21.4188	+	23.2489i	1.00857	+	1.09475i
$452$	43.6939			2.05519
$453$	−2.84447	+	2.06663i	−0.133645	+	0.0970986i
$454$	−62.7272	+	20.3813i	−2.94393	+	0.956542i
$455$	19.1799	+	12.3285i	0.899168	+	0.577968i
$456$	−1.97484	−	1.43480i	−0.0924802	−	0.0671908i
$457$	11.6427	−	16.0248i	0.544624	−	0.749611i	−0.444646	−	0.895706i	$-0.646671\pi$
$457$	11.6427	−	16.0248i	0.544624	−	0.749611i	0.989270	+	0.146096i	$0.0466707\pi$
$458$	0.132255	−	0.407039i	0.00617987	−	0.0190197i
$459$	−19.6820	+	6.39506i	−0.918676	+	0.298496i
$460$	21.3762	+	29.4219i	0.996673	+	1.37180i
$461$	35.2596			1.64220			0.821102	−	0.570781i	$-0.193360\pi$
$461$	35.2596			1.64220			0.821102	+	0.570781i	$0.193360\pi$
$462$	−25.2726	+	26.0991i	−1.17579	+	1.21424i
$463$	18.0616			0.839393			0.419696	−	0.907665i	$-0.362137\pi$
$463$	18.0616			0.839393			0.419696	+	0.907665i	$0.362137\pi$
$464$	4.02372	+	5.53818i	0.186797	+	0.257103i
$465$	1.22660	−	0.398546i	0.0568821	−	0.0184821i
$466$	6.47611	−	19.9314i	0.300000	−	0.923306i
$467$	−18.8979	+	26.0107i	−0.874489	+	1.20363i	0.103428	+	0.994637i	$0.467019\pi$
$467$	−18.8979	+	26.0107i	−0.874489	+	1.20363i	−0.977917	+	0.208993i	$0.932981\pi$
$468$	−0.283108	−	0.205690i	−0.0130867	−	0.00950803i
$469$	9.41325	−	14.6446i	0.434664	−	0.676223i
$470$	−9.55120	+	3.10337i	−0.440564	+	0.143148i
$471$	10.6157	−	7.71275i	0.489145	−	0.355385i
$472$	−38.7282			−1.78261
$473$	−2.39626	−	5.22091i	−0.110180	−	0.240058i
$474$		−	12.2351i		−	0.561975i
$475$	−1.69651	+	1.23259i	−0.0778412	+	0.0565549i
$476$	−2.25915	−	39.5671i	−0.103548	−	1.81356i
$477$	0.00337470	−	0.0103862i	0.000154517	−	0.000475554i
$478$	9.05938	+	6.58203i	0.414366	+	0.301055i
$479$	−27.0919	−	19.6834i	−1.23786	−	0.899357i	−0.240405	−	0.970673i	$-0.577280\pi$
$479$	−27.0919	−	19.6834i	−1.23786	−	0.899357i	−0.997454	+	0.0713156i	$0.977280\pi$
$480$	−10.8681	−	3.53127i	−0.496061	−	0.161180i
$481$	6.62615	+	20.3932i	0.302126	+	0.929849i
$482$	9.68083	+	13.3245i	0.440950	+	0.606915i
$483$	−3.30593	+	12.5727i	−0.150425	+	0.572079i
$484$	21.6258	+	35.5573i	0.982989	+	1.61624i
$485$	−45.9315			−2.08564
$486$	−0.730835	+	0.530983i	−0.0331513	+	0.0240859i
$487$	−12.2186	−	37.6050i	−0.553678	−	1.70405i	−0.699408	−	0.714723i	$-0.746553\pi$
$487$	−12.2186	−	37.6050i	−0.553678	−	1.70405i	0.145730	−	0.989324i	$-0.453447\pi$
$488$	23.1835	+	7.53277i	1.04947	+	0.340992i
$489$	19.0219	−	26.1815i	0.860202	−	1.18397i
$490$	23.5436	+	51.5764i	1.06359	+	2.32999i
$491$	−18.8821	−	6.13517i	−0.852138	−	0.276877i	−0.149797	−	0.988717i	$-0.547862\pi$
$491$	−18.8821	−	6.13517i	−0.852138	−	0.276877i	−0.702341	+	0.711840i	$0.747862\pi$
$492$	59.0420	−	19.1839i	2.66182	−	0.864878i
$493$	−5.79886	−	7.98145i	−0.261168	−	0.359466i
$494$			2.03438i			0.0915310i
$495$	−0.168430	−	0.366970i	−0.00757035	−	0.0164941i
$496$		−	0.611085i		−	0.0274385i
$497$	13.2059	−	5.14022i	0.592365	−	0.230571i
$498$	−10.1009	−	31.0873i	−0.452631	−	1.39305i
$499$	−13.0782	+	40.2507i	−0.585462	+	1.80187i	0.0119450	+	0.999929i	$0.496198\pi$
$499$	−13.0782	+	40.2507i	−0.585462	+	1.80187i	−0.597407	+	0.801938i	$0.703802\pi$
$500$	10.0581	−	13.8438i	0.449812	−	0.619113i
$501$	19.8139	−	27.2714i	0.885218	−	1.21840i
$502$	−6.98929	+	21.5108i	−0.311947	+	0.960075i
$503$	−7.03402	−	21.6485i	−0.313632	−	0.965259i	−0.976314	−	0.216358i	$-0.930582\pi$
$503$	−7.03402	−	21.6485i	−0.313632	−	0.965259i	0.662682	−	0.748901i	$-0.269418\pi$
$504$	−0.148782	−	0.382239i	−0.00662726	−	0.0170263i
$505$			35.5845i			1.58349i
$506$	19.8432	+	11.1565i	0.882137	+	0.495967i
$507$			11.1088i			0.493361i
$508$	24.3242	+	33.4794i	1.07921	+	1.48541i
$509$	30.0863	−	9.77562i	1.33355	−	0.433297i	0.446423	−	0.894822i	$-0.352698\pi$
$509$	30.0863	−	9.77562i	1.33355	−	0.433297i	0.887127	+	0.461526i	$0.152698\pi$
$510$	−52.5049	−	17.0599i	−2.32496	−	0.755424i
$511$	11.7085	+	14.3214i	0.517953	+	0.633540i
$512$	−17.0335	+	23.4447i	−0.752783	+	1.03612i
$513$	1.64349	+	0.534001i	0.0725617	+	0.0235767i
$514$	4.24234	+	13.0566i	0.187122	+	0.575902i
$515$	48.2544	−	35.0589i	2.12634	−	1.54488i
$516$	−11.2816			−0.496643
$517$	−3.02450	+	2.78642i	−0.133017	+	0.122547i
$518$	−13.5592	+	51.5667i	−0.595758	+	2.26571i
$519$	8.98232	+	12.3631i	0.394280	+	0.542680i
$520$	−11.4212	−	35.1510i	−0.500854	−	1.54147i
$521$	26.2902	+	8.54219i	1.15179	+	0.374240i	0.821818	−	0.569750i	$-0.192960\pi$
$521$	26.2902	+	8.54219i	1.15179	+	0.374240i	0.329974	+	0.943990i	$0.392960\pi$
$522$	−0.175244	−	0.127322i	−0.00767024	−	0.00557275i
$523$	−32.1498	−	23.3582i	−1.40581	−	1.02138i	−0.993915	−	0.110153i	$-0.964866\pi$
$523$	−32.1498	−	23.3582i	−1.40581	−	1.02138i	−0.411898	−	0.911230i	$-0.635134\pi$
$524$	6.63010	−	20.4053i	0.289637	−	0.891412i
$525$	28.8443	−	1.64691i	1.25887	−	0.0718773i
$526$	−5.98022	+	4.34488i	−0.260750	+	0.189446i
$527$			0.880677i			0.0383629i
$528$	15.5807	−	1.81759i	0.678061	−	0.0791005i
$529$	−14.8541			−0.645831
$530$	1.97962	−	1.43828i	0.0859891	−	0.0624747i
$531$	0.310441	−	0.100868i	0.0134720	−	0.00437732i
$532$	−1.78939	+	2.78382i	−0.0775798	+	0.120694i
$533$	−19.7304	−	14.3350i	−0.854618	−	0.620916i
$534$	−8.92039	+	12.2779i	−0.386023	+	0.531315i
$535$	−18.8859	+	58.1248i	−0.816509	+	2.51296i
$536$	−26.8390	+	8.72054i	−1.15927	+	0.376670i
$537$	9.03002	+	12.4288i	0.389674	+	0.536341i
$538$	28.6806			1.23651
$539$	17.5719	+	15.1733i	0.756876	+	0.653558i
$540$	−66.6031			−2.86614
$541$	3.46492	+	4.76906i	0.148969	+	0.205038i	0.876979	−	0.480528i	$-0.159555\pi$
$541$	3.46492	+	4.76906i	0.148969	+	0.205038i	−0.728011	+	0.685566i	$0.759555\pi$
$542$	−3.55463	+	1.15497i	−0.152684	+	0.0496102i
$543$	6.42381	−	19.7705i	0.275672	−	0.848431i
$544$	4.58657	−	6.31287i	0.196648	−	0.270662i
$545$	4.05366	+	2.94516i	0.173640	+	0.126157i
$546$	15.1554	−	23.5778i	0.648590	−	1.00904i
$547$	5.58302	−	1.81403i	0.238713	−	0.0775625i	−0.187217	−	0.982318i	$-0.559947\pi$
$547$	5.58302	−	1.81403i	0.238713	−	0.0775625i	0.425930	+	0.904756i	$0.359947\pi$
$548$	−54.1554	+	39.3462i	−2.31341	+	1.68079i
$549$	−0.205456			−0.00876864
$550$	9.95314	−	49.6028i	0.424403	−	2.11507i
$551$			0.823799i			0.0350950i
$552$	17.0487	−	12.3866i	0.725642	−	0.527210i
$553$	−7.80601	+	0.445697i	−0.331945	+	0.0189530i
$554$	9.38659	−	28.8890i	0.398798	−	1.22737i
$555$	39.3093	+	28.5599i	1.66859	+	1.21230i
$556$	−5.45344	−	3.96216i	−0.231277	−	0.168033i
$557$	12.8734	+	4.18283i	0.545465	+	0.177232i	0.568771	−	0.822496i	$-0.307419\pi$
$557$	12.8734	+	4.18283i	0.545465	+	0.177232i	−0.0233059	+	0.999728i	$0.507419\pi$
$558$	0.00597532	+	0.0183901i	0.000252955	+	0.000778517i
$559$	2.60502	+	3.58550i	0.110181	+	0.151651i
$560$	6.22523	−	23.6750i	0.263064	−	1.00045i
$561$	−22.4544	+	2.61946i	−0.948024	+	0.110594i
$562$	43.6475			1.84116
$563$	26.5935	−	19.3213i	1.12078	−	0.814296i	0.136455	−	0.990646i	$-0.456429\pi$
$563$	26.5935	−	19.3213i	1.12078	−	0.814296i	0.984328	+	0.176350i	$0.0564290\pi$
$564$	2.49568	+	7.68092i	0.105087	+	0.323425i
$565$	−36.9921	−	12.0195i	−1.55627	−	0.505663i
$566$	27.1582	−	37.3801i	1.14155	−	1.57120i
$567$	−14.8878	−	18.2102i	−0.625228	−	0.764755i
$568$	−21.8471	−	7.09856i	−0.916685	−	0.297849i
$569$	−24.4610	+	7.94786i	−1.02546	+	0.333192i	−0.772993	−	0.634414i	$-0.781241\pi$
$569$	−24.4610	+	7.94786i	−1.02546	+	0.333192i	−0.252465	+	0.967606i	$0.581241\pi$
$570$	2.70963	+	3.72948i	0.113494	+	0.156211i
$571$		−	16.0855i		−	0.673156i	−0.941656	−	0.336578i	$-0.890730\pi$
$571$		−	16.0855i		−	0.673156i	0.941656	−	0.336578i	$-0.109270\pi$
$572$	−21.7551	−	23.6139i	−0.909627	−	0.987347i
$573$		−	22.4298i		−	0.937019i
$574$	−21.9972	−	56.5136i	−0.918146	−	2.35883i
$575$	−5.59425	−	17.2173i	−0.233296	−	0.718012i
$576$	0.114319	−	0.351836i	0.00476327	−	0.0146599i
$577$	3.51472	−	4.83760i	0.146320	−	0.201392i	−0.729566	−	0.683911i	$-0.760278\pi$
$577$	3.51472	−	4.83760i	0.146320	−	0.201392i	0.875886	+	0.482518i	$0.160278\pi$
$578$	−1.87218	+	2.57683i	−0.0778723	+	0.107182i
$579$	−6.97197	+	21.4575i	−0.289745	+	0.891744i
$580$	−9.81157	−	30.1969i	−0.407403	−	1.25386i
$581$	−19.4658	+	7.57683i	−0.807579	+	0.314340i
$582$			56.4635i			2.34049i
$583$	0.491063	−	0.873415i	0.0203377	−	0.0361732i
$584$		−	29.9862i		−	1.24084i
$585$	0.183103	+	0.252020i	0.00757038	+	0.0104197i
$586$	50.7760	−	16.4981i	2.09754	−	0.681531i
$587$	28.3486	+	9.21103i	1.17007	+	0.380180i	0.828670	−	0.559737i	$-0.189098\pi$
$587$	28.3486	+	9.21103i	1.17007	+	0.380180i	0.341403	+	0.939917i	$0.389098\pi$
$588$	41.4769	−	18.9333i	1.71048	−	0.780798i
$589$	0.0432248	−	0.0594938i	0.00178104	−	0.00245140i
$590$	69.5586	+	22.6010i	2.86368	+	0.930467i
$591$	3.14245	+	9.67146i	0.129263	+	0.397831i
$592$	18.6252	−	13.5320i	0.765491	−	0.556162i
$593$	−27.7811			−1.14083			−0.570416	−	0.821356i	$-0.693218\pi$
$593$	−27.7811			−1.14083			−0.570416	+	0.821356i	$0.693218\pi$
$594$	−37.8903	+	17.3907i	−1.55466	+	0.713547i
$595$	−8.97161	+	34.1197i	−0.367800	+	1.39877i
$596$	31.2036	+	42.9481i	1.27815	+	1.75922i
$597$	3.78011	+	11.6340i	0.154710	+	0.476147i
$598$	−16.7032	−	5.42719i	−0.683043	−	0.221934i
$599$	−19.5005	−	14.1680i	−0.796770	−	0.578887i	0.113195	−	0.993573i	$-0.463892\pi$
$599$	−19.5005	−	14.1680i	−0.796770	−	0.578887i	−0.909965	+	0.414686i	$0.863892\pi$
$600$	−37.8889	−	27.5279i	−1.54681	−	1.12382i
$601$	−5.50651	+	16.9473i	−0.224615	+	0.691294i	0.773715	+	0.633534i	$0.218396\pi$
$601$	−5.50651	+	16.9473i	−0.224615	+	0.691294i	−0.998330	+	0.0577610i	$0.981604\pi$
$602$	0.628210	+	11.0026i	0.0256039	+	0.448431i
$603$	0.192426	−	0.139806i	0.00783620	−	0.00569333i
$604$		−	7.72673i		−	0.314396i
$605$	−8.52758	−	36.0524i	−0.346695	−	1.46574i
$606$	43.7439			1.77697
$607$	−13.9011	+	10.0998i	−0.564229	+	0.409937i	−0.833004	−	0.553266i	$-0.813381\pi$
$607$	−13.9011	+	10.0998i	−0.564229	+	0.409937i	0.268775	+	0.963203i	$0.413381\pi$
$608$	−0.619688	+	0.201349i	−0.0251317	+	0.00816577i
$609$	6.13700	−	9.54758i	0.248684	−	0.386887i
$610$	−37.2432	−	27.0588i	−1.50793	−	1.09558i
$611$	1.86487	−	2.56677i	0.0754445	−	0.103840i
$612$	0.167323	−	0.514969i	0.00676365	−	0.0208164i
$613$	−41.1897	+	13.3833i	−1.66364	+	0.540548i	−0.981629	−	0.190799i	$-0.938892\pi$
$613$	−41.1897	+	13.3833i	−1.66364	+	0.540548i	−0.682006	+	0.731347i	$0.738892\pi$
$614$	11.7819	+	16.2165i	0.475480	+	0.654443i
$615$	−55.2633			−2.22843
$616$	−6.48446	−	37.0713i	−0.261266	−	1.49364i
$617$	−43.5171			−1.75193			−0.875967	−	0.482371i	$-0.839776\pi$
$617$	−43.5171			−1.75193			−0.875967	+	0.482371i	$0.839776\pi$
$618$	−43.0978	−	59.3190i	−1.73365	−	2.38616i
$619$	−17.7774	+	5.77623i	−0.714534	+	0.232166i	−0.643652	−	0.765319i	$-0.722581\pi$
$619$	−17.7774	+	5.77623i	−0.714534	+	0.232166i	−0.0708822	+	0.997485i	$0.522581\pi$
$620$	−0.875852	+	2.69560i	−0.0351751	+	0.108258i
$621$	−8.76878	+	12.0692i	−0.351879	+	0.484320i
$622$	46.7021	+	33.9310i	1.87258	+	1.36051i
$623$	8.15826	+	5.24398i	0.326854	+	0.210096i
$624$	−11.5097	+	3.73972i	−0.460755	+	0.149708i
$625$	13.3341	−	9.68780i	0.533365	−	0.387512i
$626$	−79.6707			−3.18428
$627$	1.64546	+	0.925133i	0.0657134	+	0.0369462i
$628$			28.8365i			1.15070i
$629$	−26.8421	+	19.5019i	−1.07026	+	0.777592i
$630$	0.0441559	+	0.773354i	0.00175921	+	0.0308112i
$631$	−4.51874	+	13.9073i	−0.179888	+	0.553639i	−0.999823	−	0.0188180i	$-0.994010\pi$
$631$	−4.51874	+	13.9073i	−0.179888	+	0.553639i	0.819935	+	0.572457i	$0.194010\pi$
$632$	10.2537	+	7.44976i	0.407871	+	0.296335i
$633$	−0.497785	−	0.361662i	−0.0197852	−	0.0143748i
$634$	32.8715	+	10.6806i	1.30549	+	0.424181i
$635$	−11.3837	−	35.0355i	−0.451750	−	1.39034i
$636$	−1.15664	−	1.59198i	−0.0458637	−	0.0631260i
$637$	−15.5948	−	8.81029i	−0.617888	−	0.349076i
$638$	−13.4664	−	14.6170i	−0.533142	−	0.578694i
$639$	0.193613			0.00765920
$640$	56.3199	−	40.9188i	2.22624	−	1.61746i
$641$	14.8795	+	45.7944i	0.587705	+	1.80877i	0.588125	+	0.808770i	$0.299866\pi$
$641$	14.8795	+	45.7944i	0.587705	+	1.80877i	−0.000419422		1.00000i	$0.500134\pi$
$642$	71.4527	+	23.2164i	2.82001	+	0.916278i
$643$	−13.7801	+	18.9666i	−0.543432	+	0.747970i	−0.989103	−	0.147227i	$-0.952965\pi$
$643$	−13.7801	+	18.9666i	−0.543432	+	0.747970i	0.445671	+	0.895197i	$0.352965\pi$
$644$	−18.0828	−	22.1182i	−0.712563	−	0.871579i
$645$	9.55120	+	3.10337i	0.376078	+	0.122195i
$646$	−2.99376	+	0.972733i	−0.117788	+	0.0382716i
$647$	1.38800	+	1.91042i	0.0545680	+	0.0751064i	0.835429	−	0.549598i	$-0.185219\pi$
$647$	1.38800	+	1.91042i	0.0545680	+	0.0751064i	−0.780861	+	0.624705i	$0.785219\pi$
$648$			38.1286i			1.49783i
$649$	29.7476	−	3.47026i	1.16770	−	0.136220i
$650$			39.0313i			1.53093i
$651$	−0.944168	+	0.367506i	−0.0370049	+	0.0144037i
$652$	21.9771	+	67.6386i	0.860691	+	2.64893i
$653$	−10.2316	+	31.4896i	−0.400393	+	1.23228i	0.524288	+	0.851541i	$0.324332\pi$
$653$	−10.2316	+	31.4896i	−0.400393	+	1.23228i	−0.924681	+	0.380743i	$0.875668\pi$
$654$	3.62047	−	4.98315i	0.141572	−	0.194857i
$655$	−11.2263	+	15.4517i	−0.438650	+	0.603749i
$656$	−8.09142	+	24.9028i	−0.315917	+	0.972292i
$657$	0.0780997	+	0.240366i	0.00304696	+	0.00937758i
$658$	7.35199	−	2.86167i	0.286610	−	0.111559i
$659$			4.56667i			0.177892i	0.996036	+	0.0889462i	$0.0283499\pi$
$659$			4.56667i			0.177892i	−0.996036	+	0.0889462i	$0.971650\pi$
$660$	−71.3340	−	14.3137i	−2.77667	−	0.557158i
$661$		−	13.7734i		−	0.535722i	−0.963458	−	0.267861i	$-0.913683\pi$
$661$		−	13.7734i		−	0.535722i	0.963458	−	0.267861i	$-0.0863167\pi$
$662$	8.88036	+	12.2228i	0.345145	+	0.475051i
$663$	16.5874	−	5.38956i	0.644200	−	0.209313i
$664$	32.2033	+	10.4635i	1.24973	+	0.406062i
$665$	2.28071	−	1.86461i	0.0884423	−	0.0723064i
$666$	−0.428193	+	0.589356i	−0.0165921	+	0.0228371i
$667$	−6.76377	−	2.19768i	−0.261894	−	0.0850946i
$668$	22.8921	+	70.4546i	0.885721	+	2.72597i
$669$	11.1379	−	8.09217i	0.430617	−	0.312861i
$670$	53.2940			2.05893
$671$	−18.4825	−	3.70864i	−0.713509	−	0.143171i
$672$	8.68197	+	2.28288i	0.334914	+	0.0880640i
$673$	17.6198	+	24.2516i	0.679194	+	0.934830i	0.999924	−	0.0123405i	$-0.00392820\pi$
$673$	17.6198	+	24.2516i	0.679194	+	0.934830i	−0.320730	+	0.947171i	$0.603928\pi$
$674$	−17.4121	−	53.5890i	−0.670690	−	2.06417i
$675$	31.5317	+	10.2453i	1.21366	+	0.394341i
$676$	−19.7505	−	14.3496i	−0.759635	−	0.551907i
$677$	11.1455	+	8.09770i	0.428358	+	0.311220i	0.780992	−	0.624541i	$-0.214714\pi$
$677$	11.1455	+	8.09770i	0.428358	+	0.311220i	−0.352634	+	0.935761i	$0.614714\pi$
$678$	−14.7755	+	45.4743i	−0.567450	+	1.74643i
$679$	36.0239	−	2.05684i	1.38247	−	0.0789344i
$680$	46.2667	−	33.6147i	1.77425	−	1.28906i
$681$		−	47.2157i		−	1.80931i
$682$	0.205574	+	1.76221i	0.00787183	+	0.0674785i
$683$	14.5882			0.558201			0.279101	−	0.960262i	$-0.409964\pi$
$683$	14.5882			0.558201			0.279101	+	0.960262i	$0.409964\pi$
$684$	−0.0365788	+	0.0265760i	−0.00139862	+	0.00101616i
$685$	56.6725	−	18.4140i	2.16535	−	0.703564i
$686$	−20.7747	−	39.3969i	−0.793183	−	1.50418i
$687$	0.247870	+	0.180088i	0.00945684	+	0.00687080i
$688$	2.79689	−	3.84959i	0.106630	−	0.146764i
$689$	−0.238882	+	0.735204i	−0.00910069	+	0.0280091i
$690$	−37.8493	+	12.2980i	−1.44090	+	0.468176i
$691$	−11.7418	−	16.1612i	−0.446680	−	0.614803i	0.525000	−	0.851102i	$-0.324065\pi$
$691$	−11.7418	−	16.1612i	−0.446680	−	0.614803i	−0.971680	+	0.236300i	$0.924065\pi$
$692$	−33.5832			−1.27664
$693$	0.148532	+	0.280271i	0.00564225	+	0.0106466i
$694$	43.1266			1.63706
$695$	3.52707	+	4.85459i	0.133789	+	0.184145i
$696$	−17.4978	+	5.68539i	−0.663253	+	0.215504i
$697$	11.6611	−	35.8892i	0.441696	−	1.35940i
$698$	30.8001	−	42.3927i	1.16580	−	1.60459i
$699$	12.1374	+	8.81836i	0.459080	+	0.333541i
$700$	−34.3310	+	53.4100i	−1.29759	+	2.01871i
$701$	39.4025	−	12.8026i	1.48821	−	0.483549i	0.551656	−	0.834072i	$-0.313996\pi$
$701$	39.4025	−	12.8026i	1.48821	−	0.483549i	0.936554	+	0.350523i	$0.113996\pi$
$702$	26.0215	−	18.9057i	0.982117	−	0.713550i
$703$	2.77048			0.104491
$704$	16.6349	−	29.5871i	0.626950	−	1.11511i
$705$		−	7.18934i		−	0.270766i
$706$	31.8595	−	23.1473i	1.19905	−	0.871159i
$707$	−1.59350	−	27.9087i	−0.0599296	−	1.04962i
$708$	18.1753	−	55.9379i	0.683070	−	2.10227i
$709$	−12.2552	−	8.90389i	−0.460252	−	0.334393i	0.333378	−	0.942793i	$-0.391811\pi$
$709$	−12.2552	−	8.90389i	−0.460252	−	0.334393i	−0.793630	+	0.608401i	$0.791811\pi$
$710$	35.0964	+	25.4990i	1.31715	+	0.956962i
$711$	−0.101596	−	0.0330105i	−0.00381014	−	0.00123799i
$712$	−4.85808	−	14.9516i	−0.182064	−	0.560336i
$713$	0.373159	+	0.513609i	0.0139749	+	0.0192348i
$714$	41.9433	+	11.0288i	1.56969	+	0.412742i
$715$	11.9225	+	25.9765i	0.445877	+	0.971465i
$716$	−33.7616			−1.26173
$717$	−6.48538	+	4.71191i	−0.242201	+	0.175969i
$718$	13.5317	+	41.6463i	0.504999	+	1.55423i
$719$	−24.4842	−	7.95541i	−0.913108	−	0.296687i	−0.185471	−	0.982650i	$-0.559381\pi$
$719$	−24.4842	−	7.95541i	−0.913108	−	0.296687i	−0.727636	+	0.685963i	$0.759381\pi$
$720$	0.196589	−	0.270582i	0.00732645	−	0.0100840i
$721$	−36.2758	+	29.6574i	−1.35098	+	1.10450i
$722$	−43.2061	−	14.0385i	−1.60797	−	0.522460i
$723$	−11.2134	+	3.64345i	−0.417031	+	0.135501i
$724$	26.8523	+	36.9590i	0.997958	+	1.37357i
$725$			15.8053i			0.586994i
$726$	−44.3191	+	10.4829i	−1.64484	+	0.389058i
$727$		−	9.52144i		−	0.353130i	−0.984289	−	0.176565i	$-0.943501\pi$
$727$		−	9.52144i		−	0.353130i	0.984289	−	0.176565i	$-0.0564987\pi$
$728$	10.5317	+	27.0573i	0.390331	+	1.00281i
$729$	−8.44155	−	25.9804i	−0.312650	−	0.962238i
$730$	−17.4993	+	53.8573i	−0.647678	+	1.99335i
$731$	−4.03079	+	5.54791i	−0.149084	+	0.205197i
$732$	−21.7602	+	29.9504i	−0.804281	+	1.10700i
$733$	−12.2778	+	37.7873i	−0.453493	+	1.39571i	0.419403	+	0.907800i	$0.362239\pi$
$733$	−12.2778	+	37.7873i	−0.453493	+	1.39571i	−0.872896	+	0.487907i	$0.837761\pi$
$734$	−0.625402	−	1.92479i	−0.0230840	−	0.0710453i
$735$	−40.3234	+	4.61972i	−1.48735	+	0.170401i
$736$		−	5.62506i		−	0.207343i
$737$	19.8340	−	9.10328i	0.730594	−	0.335324i
$738$		−	0.828552i		−	0.0304994i
$739$	−16.7824	−	23.0990i	−0.617350	−	0.849709i	0.379807	−	0.925066i	$-0.375990\pi$
$739$	−16.7824	−	23.0990i	−0.617350	−	0.849709i	−0.997157	+	0.0753566i	$0.975990\pi$
$740$	−101.554	+	32.9969i	−3.73320	+	1.21299i
$741$	−1.38508	−	0.450040i	−0.0508822	−	0.0165326i
$742$	−1.48820	+	1.21668i	−0.0546335	+	0.0446658i
$743$	−0.0854863	+	0.117662i	−0.00313619	+	0.00431659i	−0.810582	−	0.585625i	$-0.800849\pi$
$743$	−0.0854863	+	0.117662i	−0.00313619	+	0.00431659i	0.807446	+	0.589941i	$0.200849\pi$
$744$	1.56198	+	0.507519i	0.0572651	+	0.0186065i
$745$	−14.6033	−	44.9443i	−0.535023	−	1.64663i
$746$	−50.4201	+	36.6324i	−1.84601	+	1.34121i
$747$	−0.285391			−0.0104419
$748$	24.3478	−	43.3055i	0.890243	−	1.58341i
$749$	12.2093	−	46.4328i	0.446117	−	1.69662i
$750$	11.0066	+	15.1493i	0.401906	+	0.553176i
$751$	2.81484	+	8.66319i	0.102715	+	0.316124i	0.989187	−	0.146657i	$-0.0468514\pi$
$751$	2.81484	+	8.66319i	0.102715	+	0.316124i	−0.886472	+	0.462782i	$0.846851\pi$
$752$	−3.23967	−	1.05263i	−0.118139	−	0.0383855i
$753$	−13.0992	−	9.51714i	−0.477362	−	0.346824i
$754$	12.4049	+	9.01269i	0.451760	+	0.328223i
$755$	−2.12550	+	6.54160i	−0.0773547	+	0.238073i
$756$	52.2365	−	2.98253i	1.89982	−	0.108474i
$757$	15.7510	−	11.4438i	0.572480	−	0.415931i	−0.263525	−	0.964653i	$-0.584885\pi$
$757$	15.7510	−	11.4438i	0.572480	−	0.415931i	0.836005	+	0.548721i	$0.184885\pi$
$758$			21.1705i			0.768946i
$759$	−11.9854	+	11.0420i	−0.435043	+	0.400798i
$760$	−4.77538			−0.173221
$761$	−10.5717	+	7.68077i	−0.383223	+	0.278428i	−0.762673	−	0.646785i	$-0.776113\pi$
$761$	−10.5717	+	7.68077i	−0.383223	+	0.278428i	0.379450	+	0.925212i	$0.376113\pi$
$762$	−43.0691	+	13.9940i	−1.56023	+	0.506949i
$763$	−3.31115	−	2.12835i	−0.119872	−	0.0770514i
$764$	39.8782	+	28.9732i	1.44274	+	1.04821i
$765$	−0.283319	+	0.389955i	−0.0102434	+	0.0140988i
$766$	9.73103	−	29.9490i	0.351596	−	1.08210i
$767$	−21.9750	+	7.14011i	−0.793471	+	0.257814i
$768$	−29.5890	−	40.7258i	−1.06770	−	1.46956i
$769$	28.5921			1.03106			0.515529	−	0.856872i	$-0.327595\pi$
$769$	28.5921			1.03106			0.515529	+	0.856872i	$0.327595\pi$
$770$	−9.98747	+	70.3668i	−0.359923	+	2.53585i
$771$	−9.82790			−0.353943
$772$	−29.1437	−	40.1128i	−1.04890	−	1.44369i
$773$	7.36776	−	2.39393i	0.265000	−	0.0861036i	−0.173503	−	0.984833i	$-0.555509\pi$
$773$	7.36776	−	2.39393i	0.265000	−	0.0861036i	0.438503	+	0.898730i	$0.355509\pi$
$774$	−0.0465282	+	0.143199i	−0.00167242	+	0.00514719i
$775$	0.829304	−	1.14144i	0.0297895	−	0.0410017i
$776$	−47.3197	−	34.3798i	−1.69868	−	1.23416i
$777$	−32.1090	−	20.6391i	−1.15191	−	0.740423i
$778$	22.9784	−	7.46613i	0.823815	−	0.267674i
$779$	−2.54925	+	1.85214i	−0.0913363	+	0.0663597i
$780$	56.1311			2.00981
$781$	17.4171	+	3.49487i	0.623233	+	0.125056i
$782$		−	27.1751i		−	0.971781i
$783$	10.5371	−	7.65566i	0.376566	−	0.273591i
$784$	−3.82224	+	18.8470i	−0.136508	+	0.673107i
$785$	7.93245	−	24.4136i	0.283121	−	0.871358i
$786$	18.9948	+	13.8005i	0.677521	+	0.492248i
$787$	17.9077	+	13.0107i	0.638341	+	0.463782i	0.859280	−	0.511506i	$-0.170912\pi$
$787$	17.9077	+	13.0107i	0.638341	+	0.463782i	−0.220939	+	0.975288i	$0.570912\pi$
$788$	−21.2542	−	6.90590i	−0.757149	−	0.246013i
$789$	−1.63523	−	5.03272i	−0.0582157	−	0.179170i
$790$	−14.0689	−	19.3641i	−0.500548	−	0.688945i
$791$	29.5510	+	7.77029i	1.05071	+	0.276280i
$792$	0.101157	−	0.504131i	0.00359447	−	0.0179135i
$793$	14.5435			0.516453
$794$	−30.0986	+	21.8679i	−1.06816	+	0.776064i
$795$	0.541306	+	1.66597i	0.0191982	+	0.0590859i
$796$	−25.5671	−	8.30724i	−0.906200	−	0.294442i
$797$	9.41049	−	12.9524i	0.333337	−	0.458799i	−0.609144	−	0.793060i	$-0.708487\pi$
$797$	9.41049	−	12.9524i	0.333337	−	0.458799i	0.942481	+	0.334261i	$0.108487\pi$
$798$	−2.29216	−	2.80368i	−0.0811414	−	0.0992490i
$799$	4.66891	+	1.51702i	0.165174	+	0.0536683i
$800$	−11.8892	+	3.86305i	−0.420348	+	0.136579i
$801$	0.0778837	+	0.107198i	0.00275189	+	0.00378765i
$802$		−	77.5443i		−	2.73819i
$803$	2.68693	+	23.0328i	0.0948197	+	0.812808i
$804$		−	42.8581i		−	1.51149i
$805$	9.22492	+	23.7000i	0.325136	+	0.835315i
$806$	−0.422971	−	1.30177i	−0.0148985	−	0.0458529i
$807$	−6.34465	+	19.5268i	−0.223342	+	0.687377i
$808$	−26.6350	+	36.6600i	−0.937017	+	1.28969i
$809$	−8.77110	+	12.0724i	−0.308375	+	0.424442i	−0.934874	−	0.354981i	$-0.884487\pi$
$809$	−8.77110	+	12.0724i	−0.308375	+	0.424442i	0.626498	+	0.779423i	$0.284487\pi$
$810$	22.2510	−	68.4816i	0.781821	−	2.40620i
$811$	2.12922	+	6.55307i	0.0747671	+	0.230109i	0.981455	−	0.191693i	$-0.0613977\pi$
$811$	2.12922	+	6.55307i	0.0747671	+	0.230109i	−0.906688	+	0.421802i	$0.861398\pi$
$812$	9.04740	+	23.2439i	0.317502	+	0.815702i
$813$		−	2.67562i		−	0.0938382i
$814$	−49.1579	+	45.2884i	−1.72298	+	1.58736i
$815$		−	63.3097i		−	2.21764i
$816$	−11.0066	−	15.1493i	−0.385309	−	0.530333i
$817$	0.544597	−	0.176950i	0.0190531	−	0.00619071i
$818$	11.5112	+	3.74022i	0.402480	+	0.130774i
$819$	−0.154892	−	0.189458i	−0.00541238	−	0.00662021i
$820$	71.3852	−	98.2533i	2.49288	−	3.43115i
$821$	15.4556	+	5.02182i	0.539403	+	0.175263i	0.566033	−	0.824383i	$-0.308478\pi$
$821$	15.4556	+	5.02182i	0.539403	+	0.175263i	−0.0266299	+	0.999645i	$0.508478\pi$
$822$	−22.6363	−	69.6674i	−0.789532	−	2.42993i
$823$	−7.19913	+	5.23047i	−0.250946	+	0.182323i	−0.706146	−	0.708066i	$-0.749568\pi$
$823$	−7.19913	+	5.23047i	−0.250946	+	0.182323i	0.455200	+	0.890389i	$0.349568\pi$
$824$	75.9545			2.64600
$825$	31.5696	+	17.7495i	1.09911	+	0.617957i
$826$	−55.5666	−	14.6109i	−1.93341	−	0.508380i
$827$	−0.330476	−	0.454861i	−0.0114918	−	0.0158171i	0.803232	−	0.595666i	$-0.203112\pi$
$827$	−0.330476	−	0.454861i	−0.0114918	−	0.0158171i	−0.814724	+	0.579849i	$0.803112\pi$
$828$	−0.120619	−	0.371226i	−0.00419179	−	0.0129010i
$829$	6.15998	+	2.00150i	0.213945	+	0.0695150i	0.414029	−	0.910264i	$-0.364121\pi$
$829$	6.15998	+	2.00150i	0.213945	+	0.0695150i	−0.200084	+	0.979779i	$0.564121\pi$
$830$	−51.7331	−	37.5863i	−1.79568	−	1.30464i
$831$	17.5922	+	12.7815i	0.610267	+	0.443385i
$832$	−8.09219	+	24.9052i	−0.280546	+	0.863433i
$833$	5.50849	−	27.1617i	0.190858	−	0.941097i
$834$	5.96773	−	4.33581i	0.206646	−	0.150137i
$835$		−	65.9454i		−	2.28214i
$836$	−3.77029	+	1.73047i	−0.130398	+	0.0598494i
$837$	−1.16267			−0.0401877
$838$	−32.8786	+	23.8877i	−1.13577	+	0.825187i
$839$	−11.8093	+	3.83707i	−0.407701	+	0.132470i	−0.505686	−	0.862718i	$-0.668760\pi$
$839$	−11.8093	+	3.83707i	−0.407701	+	0.132470i	0.0979843	+	0.995188i	$0.468760\pi$
$840$	55.3451	+	35.5748i	1.90959	+	1.22745i
$841$	−18.4383	−	13.3962i	−0.635802	−	0.461937i
$842$	35.2679	−	48.5422i	1.21541	−	1.67287i
$843$	−9.65559	+	29.7168i	−0.332556	+	1.02350i
$844$	1.28601	−	0.417848i	0.0442661	−	0.0143829i
$845$	12.7738	+	17.5817i	0.439434	+	0.604828i
$846$	0.107788			0.00370584
$847$	8.30259	+	27.8939i	0.285280	+	0.958444i
$848$	0.829977			0.0285015
$849$	19.4419	+	26.7595i	0.667244	+	0.918382i
$850$	−57.4379	+	18.6627i	−1.97010	+	0.640126i
$851$	−7.39092	+	22.7469i	−0.253358	+	0.779755i
$852$	20.5059	−	28.2240i	0.702521	−	0.966937i
$853$	−39.2945	−	28.5491i	−1.34542	−	0.977502i	−0.999226	−	0.0393383i	$-0.987475\pi$
$853$	−39.2945	−	28.5491i	−1.34542	−	0.977502i	−0.346191	−	0.938164i	$-0.612525\pi$
$854$	30.4214	+	19.5543i	1.04100	+	0.669134i
$855$	0.0382789	−	0.0124376i	0.00130911	−	0.000425356i
$856$	−62.9632	+	45.7455i	−2.15204	+	1.56355i
$857$	10.2702			0.350825			0.175412	−	0.984495i	$-0.443874\pi$
$857$	10.2702			0.350825			0.175412	+	0.984495i	$0.443874\pi$
$858$	31.9328	−	14.6563i	1.09017	−	0.500358i
$859$			50.0409i			1.70737i	0.520787	+	0.853687i	$0.325639\pi$
$859$			50.0409i			1.70737i	−0.520787	+	0.853687i	$0.674361\pi$
$860$	−17.8551	+	12.9725i	−0.608853	+	0.442358i
$861$	43.3428	−	2.47473i	1.47712	−	0.0843384i
$862$	−14.8669	+	45.7555i	−0.506367	+	1.55844i
$863$	19.0993	+	13.8764i	0.650147	+	0.472359i	0.863321	−	0.504655i	$-0.168380\pi$
$863$	19.0993	+	13.8764i	0.650147	+	0.472359i	−0.213174	+	0.977014i	$0.568380\pi$
$864$	8.33426	+	6.05519i	0.283537	+	0.206002i
$865$	28.4322	+	9.23819i	0.966724	+	0.314108i
$866$	28.6338	+	88.1259i	0.973017	+	2.99464i
$867$	−1.34024	−	1.84469i	−0.0455171	−	0.0626489i
$868$	0.566216	−	2.15336i	0.0192186	−	0.0730900i
$869$	−8.54354	−	4.80346i	−0.289820	−	0.162946i
$870$	34.7452			1.17797
$871$	−13.6211	+	9.89634i	−0.461535	+	0.335325i
$872$	1.97172	+	6.06834i	0.0667710	+	0.205500i
$873$	0.468853	+	0.152340i	0.0158683	+	0.00515592i
$874$	−1.33379	+	1.83581i	−0.0451162	+	0.0620971i
$875$	9.26438	−	7.57413i	0.313193	−	0.256052i
$876$	43.3112	+	14.0727i	1.46335	+	0.475471i
$877$	−38.4099	+	12.4801i	−1.29701	+	0.421424i	−0.874540	−	0.484953i	$-0.838837\pi$
$877$	−38.4099	+	12.4801i	−1.29701	+	0.421424i	−0.422469	+	0.906377i	$0.638837\pi$
$878$	−34.1351	−	46.9830i	−1.15200	−	1.58560i
$879$			38.2199i			1.28912i
$880$	22.5691	−	20.7926i	0.760805	−	0.700917i
$881$		−	15.4238i		−	0.519640i	−0.965657	−	0.259820i	$-0.916337\pi$
$881$		−	15.4238i		−	0.519640i	0.965657	−	0.259820i	$-0.0836632\pi$
$882$	−0.0692626	−	0.604561i	−0.00233219	−	0.0203566i
$883$	−6.57351	−	20.2312i	−0.221216	−	0.680834i	−0.998654	−	0.0518735i	$-0.983481\pi$
$883$	−6.57351	−	20.2312i	−0.221216	−	0.680834i	0.777437	−	0.628960i	$-0.216519\pi$
$884$	−11.8442	+	36.4527i	−0.398364	+	1.22604i
$885$	−30.7752	+	42.3584i	−1.03450	+	1.42386i
$886$	28.9230	−	39.8091i	0.971686	−	1.33741i
$887$	16.2684	−	50.0689i	0.546238	−	1.68115i	−0.171789	−	0.985134i	$-0.554955\pi$
$887$	16.2684	−	50.0689i	0.546238	−	1.68115i	0.718027	−	0.696015i	$-0.245045\pi$
$888$	19.1203	+	58.8461i	0.641634	+	1.97475i
$889$	10.4971	+	26.9684i	0.352062	+	0.904492i
$890$			29.6893i			0.995186i
$891$	−3.41653	−	29.2870i	−0.114458	−	0.981152i
$892$			30.2551i			1.01302i
$893$	−0.240949	−	0.331638i	−0.00806305	−	0.0110978i
$894$	−55.2499	+	17.9518i	−1.84783	+	0.600397i
$895$	28.5832	+	9.28725i	0.955431	+	0.310438i
$896$	−42.3391	+	34.6145i	−1.41445	+	1.15639i
$897$	7.39006	−	10.1715i	0.246747	−	0.339618i
$898$	1.65450	+	0.537581i	0.0552115	+	0.0179393i
$899$	−0.171278	−	0.527138i	−0.00571243	−	0.0175810i
$900$	−0.701796	+	0.509884i	−0.0233932	+	0.0169961i
$901$	−1.19614			−0.0398491
$902$	14.9560	−	74.5353i	0.497981	−	2.48175i
$903$	−7.62993	−	2.00625i	−0.253908	−	0.0667639i
$904$	−29.1136	−	40.0714i	−0.968303	−	1.33276i
$905$	−12.5669	−	38.6768i	−0.417737	−	1.28566i
$906$	8.04157	+	2.61286i	0.267163	+	0.0868066i
$907$	39.4957	+	28.6953i	1.31143	+	0.952811i	0.999997	+	0.00254370i	$0.000809687\pi$
$907$	39.4957	+	28.6953i	1.31143	+	0.952811i	0.311435	+	0.950267i	$0.399190\pi$
$908$	83.9453	+	60.9899i	2.78582	+	2.02402i
$909$	0.118022	−	0.363234i	0.00391454	−	0.0120477i
$910$	−3.12564	−	54.7429i	−0.103614	−	1.81471i
$911$	−6.78786	+	4.93167i	−0.224892	+	0.163393i	−0.694526	−	0.719468i	$-0.744386\pi$
$911$	−6.78786	+	4.93167i	−0.224892	+	0.163393i	0.469634	+	0.882861i	$0.344386\pi$
$912$			1.56363i			0.0517769i
$913$	−25.6733	−	5.15153i	−0.849663	−	0.170491i
$914$	−47.6351			−1.57563
$915$	26.6615	−	19.3707i	0.881402	−	0.640376i
$916$	−0.640362	+	0.208066i	−0.0211582	+	0.00687470i
$917$	8.11283	−	12.6214i	0.267909	−	0.416797i
$918$	40.2635	+	29.2531i	1.32889	+	0.965497i
$919$	7.04455	−	9.69599i	0.232378	−	0.319841i	−0.676864	−	0.736108i	$-0.736662\pi$
$919$	7.04455	−	9.69599i	0.232378	−	0.319841i	0.909243	+	0.416267i	$0.136662\pi$
$920$	12.7395	−	39.2080i	0.420008	−	1.29265i
$921$	−13.6471	+	4.43423i	−0.449689	+	0.146113i
$922$	−49.8411	−	68.6004i	−1.64143	−	2.25923i
$923$	−13.7051			−0.451110
$924$	56.5879	+	8.03176i	1.86160	+	0.264225i
$925$	53.1541			1.74770
$926$	−25.5309	−	35.1402i	−0.838996	−	1.15478i
$927$	−0.608844	+	0.197825i	−0.0199970	+	0.00649743i
$928$	−1.51759	+	4.67065i	−0.0498172	+	0.153322i
$929$	−20.8723	+	28.7283i	−0.684799	+	0.942546i	−0.999979	−	0.00648650i	$-0.997935\pi$
$929$	−20.8723	+	28.7283i	−0.684799	+	0.942546i	0.315180	+	0.949032i	$0.397935\pi$
$930$	−2.50926	−	1.82308i	−0.0822817	−	0.0597812i
$931$	−1.70526	+	1.56453i	−0.0558875	+	0.0512755i
$932$	−31.3565	+	10.1884i	−1.02712	+	0.333731i
$933$	−33.4328	+	24.2904i	−1.09454	+	0.795231i
$934$	77.3188			2.52995
$935$	−32.5259	+	29.9656i	−1.06371	+	0.979980i
$936$			0.396689i			0.0129662i
$937$	−27.5372	+	20.0070i	−0.899602	+	0.653599i	−0.938364	−	0.345649i	$-0.887659\pi$
$937$	−27.5372	+	20.0070i	−0.899602	+	0.653599i	0.0387616	+	0.999248i	$0.487659\pi$
$938$	−41.7982	+	2.38654i	−1.36476	+	0.0779232i
$939$	17.6246	−	54.2428i	0.575156	−	1.77015i
$940$	12.7820	+	9.28667i	0.416903	+	0.302898i
$941$	44.3086	+	32.1921i	1.44442	+	1.04943i	0.987096	+	0.160131i	$0.0511917\pi$
$941$	44.3086	+	32.1921i	1.44442	+	1.04943i	0.457323	+	0.889301i	$0.348808\pi$
$942$	−30.0115	−	9.75134i	−0.977828	−	0.317716i
$943$	−8.40617	−	25.8715i	−0.273742	−	0.842492i
$944$	14.5816	+	20.0699i	0.474591	+	0.653219i
$945$	−45.0449	−	11.8443i	−1.46531	−	0.385296i
$946$	−6.77047	+	12.0421i	−0.220127	+	0.391523i
$947$	−17.4024			−0.565501			−0.282750	−	0.959194i	$-0.591247\pi$
$947$	−17.4024			−0.565501			−0.282750	+	0.959194i	$0.591247\pi$
$948$	−15.5723	+	11.3140i	−0.505766	+	0.367460i
$949$	−5.52839	−	17.0146i	−0.179459	−	0.552319i
$950$	4.79619	+	1.55838i	0.155609	+	0.0505604i
$951$	−14.5435	+	20.0174i	−0.471606	+	0.649109i
$952$	−34.7814	+	28.4357i	−1.12727	+	0.921606i
$953$	−4.77510	−	1.55152i	−0.154681	−	0.0502588i	0.230653	−	0.973036i	$-0.425914\pi$
$953$	−4.77510	−	1.55152i	−0.154681	−	0.0502588i	−0.385334	+	0.922777i	$0.625914\pi$
$954$	−0.0249775	+	0.00811570i	−0.000808678	+	0.000262755i
$955$	−25.7916	−	35.4991i	−0.834598	−	1.14872i
$956$		−	17.6169i		−	0.569772i
$957$	12.9308	−	5.93492i	0.417995	−	0.191849i
$958$			80.5327i			2.60189i
$959$	−43.6234	+	16.9799i	−1.40867	+	0.548308i
$960$	18.3369	+	56.4351i	0.591820	+	1.82144i
$961$	9.56424	−	29.4357i	0.308524	−	0.949539i
$962$	30.3102	−	41.7184i	0.977239	−	1.34505i
$963$	0.385562	−	0.530680i	0.0124246	−	0.0171009i
$964$	8.00692	−	24.6428i	0.257886	−	0.793690i
$965$	13.6392	+	41.9772i	0.439062	+	1.35130i
$966$	29.1343	−	11.3402i	0.937381	−	0.364864i
$967$			47.8640i			1.53920i	0.638525	+	0.769601i	$0.279545\pi$
$967$			47.8640i			1.53920i	−0.638525	+	0.769601i	$0.720455\pi$
$968$	18.2000	−	43.5249i	0.584969	−	1.39894i
$969$		−	2.25345i		−	0.0723913i
$970$	64.9263	+	89.3634i	2.08466	+	2.86928i
$971$	45.8538	−	14.8988i	1.47152	−	0.478125i	0.539951	−	0.841696i	$-0.318443\pi$
$971$	45.8538	−	14.8988i	1.47152	−	0.478125i	0.931566	+	0.363571i	$0.118443\pi$
$972$	1.35163	+	0.439171i	0.0433535	+	0.0140864i
$973$	−2.98365	−	3.64949i	−0.0956515	−	0.116997i
$974$	−55.8920	+	76.9287i	−1.79089	+	2.46496i
$975$	−26.5740	−	8.63440i	−0.851048	−	0.276522i
$976$	−4.82519	−	14.8504i	−0.154451	−	0.475350i
$977$	38.3467	−	27.8605i	1.22682	−	0.891336i	0.230171	−	0.973150i	$-0.426072\pi$
$977$	38.3467	−	27.8605i	1.22682	−	0.891336i	0.996648	+	0.0818145i	$0.0260715\pi$
$978$	−77.8265			−2.48862
$979$	5.07130	+	11.0492i	0.162079	+	0.353134i
$980$	43.8734	−	77.6589i	1.40149	−	2.48072i
$981$	−0.0316103	−	0.0435078i	−0.00100924	−	0.00138910i
$982$	14.7543	+	45.4090i	0.470828	+	1.44906i
$983$	−23.0808	−	7.49941i	−0.736163	−	0.239194i	−0.0831466	−	0.996537i	$-0.526497\pi$
$983$	−23.0808	−	7.49941i	−0.736163	−	0.239194i	−0.653017	+	0.757343i	$0.726497\pi$
$984$	−56.9336	−	41.3647i	−1.81498	−	1.31866i
$985$	16.0945	+	11.6933i	0.512814	+	0.372581i
$986$	−7.33158	+	22.5643i	−0.233485	+	0.718593i
$987$	0.321943	+	5.63856i	0.0102476	+	0.179477i
$988$	2.58928	−	1.88122i	0.0823759	−	0.0598496i
$989$			4.94345i			0.157193i
$990$	−0.475886	+	0.846422i	−0.0151247	+	0.0269011i
$991$	26.5976			0.844902			0.422451	−	0.906386i	$-0.361170\pi$
$991$	26.5976			0.844902			0.422451	+	0.906386i	$0.361170\pi$
$992$	0.354667	−	0.257681i	0.0112607	−	0.00818137i
$993$	−10.2862	+	3.34219i	−0.326423	+	0.106061i
$994$	−28.6678	−	18.4271i	−0.909288	−	0.584474i
$995$	19.3604	+	14.0661i	0.613765	+	0.445927i
$996$	−30.2263	+	41.6029i	−0.957757	+	1.31824i
$997$	−2.23970	+	6.89308i	−0.0709319	+	0.218306i	−0.980238	−	0.197822i	$-0.936613\pi$
$997$	−2.23970	+	6.89308i	−0.0709319	+	0.218306i	0.909306	+	0.416128i	$0.136613\pi$
$998$	96.7975	−	31.4514i	3.06407	−	0.995577i
$999$	−25.7464	−	35.4369i	−0.814581	−	1.12117i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	77.2.l.b.41.2	yes	16
3.2	odd	2		693.2.bu.d.118.3		16
7.2	even	3		539.2.s.b.129.1		16
7.3	odd	6		539.2.s.c.19.2		16
7.4	even	3		539.2.s.c.19.1		16
7.5	odd	6		539.2.s.b.129.2		16
7.6	odd	2	inner	77.2.l.b.41.1	✓	16
11.2	odd	10		847.2.b.f.846.1		16
11.3	even	5		847.2.l.e.699.1		16
11.4	even	5		847.2.l.i.524.3		16
11.5	even	5		847.2.l.j.475.4		16
11.6	odd	10		847.2.l.e.475.2		16
11.7	odd	10	inner	77.2.l.b.62.1	yes	16
11.8	odd	10		847.2.l.j.699.3		16
11.9	even	5		847.2.b.f.846.15		16
11.10	odd	2		847.2.l.i.118.4		16
21.20	even	2		693.2.bu.d.118.4		16
33.29	even	10		693.2.bu.d.370.4		16
77.6	even	10		847.2.l.e.475.1		16
77.13	even	10		847.2.b.f.846.2		16
77.18	odd	30		539.2.s.b.117.2		16
77.20	odd	10		847.2.b.f.846.16		16
77.27	odd	10		847.2.l.j.475.3		16
77.40	even	30		539.2.s.c.227.1		16
77.41	even	10		847.2.l.j.699.4		16
77.48	odd	10		847.2.l.i.524.4		16
77.51	odd	30		539.2.s.c.227.2		16
77.62	even	10	inner	77.2.l.b.62.2	yes	16
77.69	odd	10		847.2.l.e.699.2		16
77.73	even	30		539.2.s.b.117.1		16
77.76	even	2		847.2.l.i.118.3		16
231.62	odd	10		693.2.bu.d.370.3		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
77.2.l.b.41.1	✓	16	7.6	odd	2	inner
77.2.l.b.41.2	yes	16	1.1	even	1	trivial
77.2.l.b.62.1	yes	16	11.7	odd	10	inner
77.2.l.b.62.2	yes	16	77.62	even	10	inner
539.2.s.b.117.1		16	77.73	even	30
539.2.s.b.117.2		16	77.18	odd	30
539.2.s.b.129.1		16	7.2	even	3
539.2.s.b.129.2		16	7.5	odd	6
539.2.s.c.19.1		16	7.4	even	3
539.2.s.c.19.2		16	7.3	odd	6
539.2.s.c.227.1		16	77.40	even	30
539.2.s.c.227.2		16	77.51	odd	30
693.2.bu.d.118.3		16	3.2	odd	2
693.2.bu.d.118.4		16	21.20	even	2
693.2.bu.d.370.3		16	231.62	odd	10
693.2.bu.d.370.4		16	33.29	even	10
847.2.b.f.846.1		16	11.2	odd	10
847.2.b.f.846.2		16	77.13	even	10
847.2.b.f.846.15		16	11.9	even	5
847.2.b.f.846.16		16	77.20	odd	10
847.2.l.e.475.1		16	77.6	even	10
847.2.l.e.475.2		16	11.6	odd	10
847.2.l.e.699.1		16	11.3	even	5
847.2.l.e.699.2		16	77.69	odd	10
847.2.l.i.118.3		16	77.76	even	2
847.2.l.i.118.4		16	11.10	odd	2
847.2.l.i.524.3		16	11.4	even	5
847.2.l.i.524.4		16	77.48	odd	10
847.2.l.j.475.3		16	77.27	odd	10
847.2.l.j.475.4		16	11.5	even	5
847.2.l.j.699.3		16	11.8	odd	10
847.2.l.j.699.4		16	77.41	even	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 77 = 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	77.l (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41355 - 1.94558i) q^{2} +(1.63732 - 0.531999i) q^{3} +(-1.16913 + 3.59821i) q^{4} +(1.97962 - 2.72471i) q^{5} +(-3.34948 - 2.43354i) q^{6} +(-1.43059 + 2.22563i) q^{7} +(4.07890 - 1.32531i) q^{8} +(-0.0292442 + 0.0212472i) q^{9} +O(q^{10})\)	\(q+(-1.41355 - 1.94558i) q^{2} +(1.63732 - 0.531999i) q^{3} +(-1.16913 + 3.59821i) q^{4} +(1.97962 - 2.72471i) q^{5} +(-3.34948 - 2.43354i) q^{6} +(-1.43059 + 2.22563i) q^{7} +(4.07890 - 1.32531i) q^{8} +(-0.0292442 + 0.0212472i) q^{9} -8.09942 q^{10} +(-3.01430 + 1.38348i) q^{11} +6.51342i q^{12} +(2.07009 - 1.50401i) q^{13} +(6.35233 - 0.362697i) q^{14} +(1.79173 - 5.51439i) q^{15} +(-2.22256 - 1.61479i) q^{16} +(3.20309 + 2.32718i) q^{17} +(0.0826761 + 0.0268631i) q^{18} +(-0.102162 - 0.314423i) q^{19} +(7.48966 + 10.3086i) q^{20} +(-1.15831 + 4.40514i) q^{21} +(6.95252 + 3.90893i) q^{22} +2.85410 q^{23} +(5.97341 - 4.33994i) q^{24} +(-1.96007 - 6.03249i) q^{25} +(-5.85233 - 1.90154i) q^{26} +(-3.07234 + 4.22872i) q^{27} +(-6.33573 - 7.74962i) q^{28} +(-2.36984 - 0.770008i) q^{29} +(-13.2614 + 4.30888i) q^{30} +(0.130745 + 0.179955i) q^{31} -1.97087i q^{32} +(-4.19937 + 3.86881i) q^{33} -9.52144i q^{34} +(3.23216 + 8.30383i) q^{35} +(-0.0422615 - 0.130068i) q^{36} +(-2.58958 + 7.96991i) q^{37} +(-0.467324 + 0.643217i) q^{38} +(2.58928 - 3.56384i) q^{39} +(4.46356 - 13.7374i) q^{40} +(-2.94529 - 9.06468i) q^{41} +(10.2079 - 3.97329i) q^{42} +1.73205i q^{43} +(-1.45396 - 12.4636i) q^{44} +0.121743i q^{45} +(-4.03440 - 5.55288i) q^{46} +(1.17925 - 0.383160i) q^{47} +(-4.49812 - 1.46153i) q^{48} +(-2.90682 - 6.36792i) q^{49} +(-8.96602 + 12.3407i) q^{50} +(6.48255 + 2.10631i) q^{51} +(2.99154 + 9.20701i) q^{52} +(-0.244415 + 0.177578i) q^{53} +12.5702 q^{54} +(-2.19756 + 10.9518i) q^{55} +(-2.88558 + 10.9741i) q^{56} +(-0.334546 - 0.460463i) q^{57} +(1.85177 + 5.69915i) q^{58} +(-8.58810 - 2.79044i) q^{59} +(17.7472 + 12.8941i) q^{60} +(4.59826 + 3.34083i) q^{61} +(0.165302 - 0.508748i) q^{62} +(-0.00545174 - 0.0954827i) q^{63} +(-8.27961 + 6.01549i) q^{64} -8.61776i q^{65} +(13.4631 + 2.70146i) q^{66} -6.57998 q^{67} +(-12.1185 + 8.80462i) q^{68} +(4.67309 - 1.51838i) q^{69} +(11.5870 - 18.0263i) q^{70} +(-4.33320 - 3.14826i) q^{71} +(-0.0911250 + 0.125423i) q^{72} +(2.16056 - 6.64953i) q^{73} +(19.1666 - 6.22760i) q^{74} +(-6.41855 - 8.83438i) q^{75} +1.25080 q^{76} +(1.23311 - 8.68789i) q^{77} -10.5938 q^{78} +(1.73702 + 2.39081i) q^{79} +(-8.79965 + 2.85918i) q^{80} +(-2.74724 + 8.45513i) q^{81} +(-13.4727 + 18.5436i) q^{82} +(6.38726 + 4.64062i) q^{83} +(-14.4964 - 9.31803i) q^{84} +(12.6818 - 4.12056i) q^{85} +(3.36984 - 2.44833i) q^{86} -4.28984 q^{87} +(-10.4615 + 9.63797i) q^{88} -3.66560i q^{89} +(0.236861 - 0.172090i) q^{90} +(0.385909 + 6.75887i) q^{91} +(-3.33682 + 10.2697i) q^{92} +(0.309807 + 0.225088i) q^{93} +(-2.41238 - 1.75270i) q^{94} +(-1.05896 - 0.344075i) q^{95} +(-1.04850 - 3.22695i) q^{96} +(-8.01617 - 11.0333i) q^{97} +(-8.28036 + 14.6568i) q^{98} +(0.0587556 - 0.104504i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 10 q^{2} - 10 q^{4} - 10 q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) \) 16 * q - 10 * q^2 - 10 * q^4 - 10 * q^7 + 10 * q^8 + 8 * q^9	\( 16 q - 10 q^{2} - 10 q^{4} - 10 q^{7} + 10 q^{8} + 8 q^{9} + 2 q^{11} + 8 q^{14} - 14 q^{16} - 20 q^{18} + 42 q^{22} - 8 q^{23} - 30 q^{25} - 10 q^{28} + 10 q^{29} - 40 q^{30} + 40 q^{35} + 20 q^{36} + 4 q^{37} + 30 q^{39} + 50 q^{42} - 10 q^{44} - 10 q^{46} + 8 q^{49} - 60 q^{50} - 10 q^{51} - 4 q^{56} - 90 q^{57} - 2 q^{58} + 120 q^{60} - 20 q^{63} - 38 q^{64} - 4 q^{67} - 56 q^{71} + 30 q^{72} + 90 q^{74} + 2 q^{77} - 20 q^{78} + 50 q^{79} - 16 q^{81} - 70 q^{84} + 80 q^{85} + 6 q^{86} - 86 q^{88} - 30 q^{91} + 20 q^{92} - 40 q^{93} - 60 q^{95} + 36 q^{99}+O(q^{100}) \) 16 * q - 10 * q^2 - 10 * q^4 - 10 * q^7 + 10 * q^8 + 8 * q^9 + 2 * q^11 + 8 * q^14 - 14 * q^16 - 20 * q^18 + 42 * q^22 - 8 * q^23 - 30 * q^25 - 10 * q^28 + 10 * q^29 - 40 * q^30 + 40 * q^35 + 20 * q^36 + 4 * q^37 + 30 * q^39 + 50 * q^42 - 10 * q^44 - 10 * q^46 + 8 * q^49 - 60 * q^50 - 10 * q^51 - 4 * q^56 - 90 * q^57 - 2 * q^58 + 120 * q^60 - 20 * q^63 - 38 * q^64 - 4 * q^67 - 56 * q^71 + 30 * q^72 + 90 * q^74 + 2 * q^77 - 20 * q^78 + 50 * q^79 - 16 * q^81 - 70 * q^84 + 80 * q^85 + 6 * q^86 - 86 * q^88 - 30 * q^91 + 20 * q^92 - 40 * q^93 - 60 * q^95 + 36 * q^99

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